Sin 37 degree

\( A = \sin^ \right]\) A = angle A B = angle B C = angle C a = side a b = side b c = side c P = perimeter s = semi-perimeter K = area r = radius of inscribed circle R = radius of circumscribed circle *Length units are for your reference-only since the value of the resulting lengths will always be the same no matter what the units are. Calculator Use Uses the law of sines to calculate unknown angles or sides of a triangle. In order to calculate the unknown values you must enter 3 known values. Some calculation choices are redundant but are included anyway for exact letter designations. Calculation Methods To calculate any angle, A, B or C, say B, enter the opposite side b then another angle-side pair such as A and a or C and c. The performed calculations follow the To calculate any side, a, b or c, say b, enter the opposite angle B and then another angle-side pair such as A and a or C and c. The performed calculations follow the \( c = \dfrac \) Triangle Characteristics Triangle perimeter, P = a + b + c Triangle semi-perimeter, s = 0.5 * (a + b + c) Triangle area, K = √[ s*(s-a)*(s-b)*(s-c)] Radius of inscribed circle in the triangle, r = √[ (s-a)*(s-b)*(s-c) / s ] Radius of circumscribed circle around triangle, R = (abc) / (4K) References/ Further Reading MathWorld-- A Wolfram Web Resource. Zwillinger, Daniel (Editor-in-Chief).

Acronym Part Verbal Description Mathematical Definition S O H \Large S\blueD tan ( A ) = Adjacent Opposite ​ tangent, left parenthesis, A, right parenthesis, equals, start fraction, start text, start color #11accd, O, p, p, o, s, i, t, e, end color #11accd, end text, divided by, start text, start color #ed5fa6, A, d, j, a, c, e, n, t, end color #ed5fa6, end text, end fraction For example, if we want to recall the definition of the sine, we reference S O H S\blueD hypotenuse start text, start color #aa87ff, h, y, p, o, t, e, n, u, s, e, end color #aa87ff, end text ! Sine is defined as the ratio of the opposite \text) ( S O H ) left parenthesis, S, start color #11accd, O, end color #11accd, start color #aa87ff, H, end color #aa87ff, right parenthesis . Therefore: • Your answer should be • an integer, like 6 6 6 6 • a simplified proper fraction, like 3 / 5 3/5 3 / 5 3, slash, 5 • a simplified improper fraction, like 7 / 4 7/4 7 / 4 7, slash, 4 • a mixed number, like 1 3 / 4 1\ 3/4 1 3 / 4 1, space, 3, slash, 4 • an exact decimal, like 0.75 0.75 0 . 7 5 0, point, 75 • a multiple of pi, like 12 pi 12\ \text 2 / 3 pi 2, slash, 3, space, start text, p, i, end text Check If you know two angles of a triangle, it is easy to find the third one. Since the three interior angles of a triangle add up to 180 degrees you can always calculate the third angle like this: Let's suppose that you know a triangle has angles 90 and 50 and you want to know the third angle. Let's call the unknown an...

Note that we are given the length of the hypotenuse \purpleC opposite start color #11accd, start text, o, p, p, o, s, i, t, e, end text, end color #11accd angle B \goldD B B start color #e07d10, B, end color #e07d10 . The trigonometric ratio that contains both of those sides is the sine. sin ⁡ ( B ) = opposite hypotenuse Define sine. sin ⁡ ( 5 0 ∘ ) = A C 6 Substitute. 6 sin ⁡ ( 5 0 ∘ ) = A C Multiply both sides by 6. 4.60 ≈ A C Evaluate with a calculator. \begin sin ( B ) sin ( 5 0 ∘ ) 6 sin ( 5 0 ∘ ) 4 . 6 0 ​ = hypotenuse opposite ​ Define sine. = 6 A C ​ Substitute. = A C Multiply both sides by 6 . ≈ A C Evaluate with a calculator. ​ - You are given the side OPPOSITE the 72 degree angle, which is 8.2. - You are solving for the HYPOTENUSE. Therefore you need the trig function that contains both the OPPOSITE and the HYPOTENUSE, which would be SINE, since sin = OPPOSITE / HYPOTENUSE. "Let's input the value into the equation." sin (deg) = opposite/hypotenuse sin (72) = 8.2/DG "Since we're solving for DG, the hypotenuse, we have to move it so that it is on the numerator. Thus, you multiply both sides of the equation by DG" DG sin(72) = 8.2 "Again because we're solving for DG, we have to isolate DG so that it alone is on the left side of the equation. To do so, we have to move sin(72) to the other side, or in other words divide both sides of the equation by sin(72)." DG = 8.2/sin(72) "Now use the calculator" 8.2/sin(72) = 8.621990..... "Round you're answer to the nearest hun...

Step 1: Enter the values of any two angles and any one side of a triangle below which you want to solve for remaining angle and sides. Triangle calculator finds the values of remaining sides and angles by using Sine Law. Sine law states that a sin A = b sin B = c sin C Cosine law states that- a 2 = b 2 + c 2 - 2 b c . cos ( A ) b 2 = a 2 + c 2 - 2 a c . cos ( B ) c 2 = a 2 + b 2 - 2 a b . cos ( C ) Step 2: Click the blue arrow to submit. Choose "Solve the Triangle" from the topic selector and click to see the result in our Examples- Popular Problems- A = 4 5 , B = 5 2 , a = 1 5 a = 4 , b = 1 0 , c = 7 B = 1 2 7 , a = 3 2 , C = 2 5 B = 8 5 , C = 1 5 , b = 4 0 C = 3 , a = 1 6 , b = 3 3

Note that we are given the length of the hypotenuse \purpleC opposite start color #11accd, start text, o, p, p, o, s, i, t, e, end text, end color #11accd angle B \goldD B B start color #e07d10, B, end color #e07d10 . The trigonometric ratio that contains both of those sides is the sine. sin ⁡ ( B ) = opposite hypotenuse Define sine. sin ⁡ ( 5 0 ∘ ) = A C 6 Substitute. 6 sin ⁡ ( 5 0 ∘ ) = A C Multiply both sides by 6. 4.60 ≈ A C Evaluate with a calculator. \begin sin ( B ) sin ( 5 0 ∘ ) 6 sin ( 5 0 ∘ ) 4 . 6 0 ​ = hypotenuse opposite ​ Define sine. = 6 A C ​ Substitute. = A C Multiply both sides by 6 . ≈ A C Evaluate with a calculator. ​ • Your answer should be • an integer, like 6 6 6 6 • a simplified proper fraction, like 3 / 5 3/5 3 / 5 3, slash, 5 • a simplified improper fraction, like 7 / 4 7/4 7 / 4 7, slash, 4 • a mixed number, like 1 3 / 4 1\ 3/4 1 3 / 4 1, space, 3, slash, 4 • an exact decimal, like 0.75 0.75 0 . 7 5 0, point, 75 • a multiple of pi, like 12 pi 12\ \text 2 / 3 pi 2, slash, 3, space, start text, p, i, end text Check - You are given the side OPPOSITE the 72 degree angle, which is 8.2. - You are solving for the HYPOTENUSE. Therefore you need the trig function that contains both the OPPOSITE and the HYPOTENUSE, which would be SINE, since sin = OPPOSITE / HYPOTENUSE. "Let's input the value into the equation." sin (deg) = opposite/hypotenuse sin (72) = 8.2/DG "Since we're solving for DG, the hypotenuse, we have to move it so that it is on the numerator. ...

Acronym Part Verbal Description Mathematical Definition S O H \Large S\blueD tan ( A ) = Adjacent Opposite ​ tangent, left parenthesis, A, right parenthesis, equals, start fraction, start text, start color #11accd, O, p, p, o, s, i, t, e, end color #11accd, end text, divided by, start text, start color #ed5fa6, A, d, j, a, c, e, n, t, end color #ed5fa6, end text, end fraction For example, if we want to recall the definition of the sine, we reference S O H S\blueD hypotenuse start text, start color #aa87ff, h, y, p, o, t, e, n, u, s, e, end color #aa87ff, end text ! Sine is defined as the ratio of the opposite \text) ( S O H ) left parenthesis, S, start color #11accd, O, end color #11accd, start color #aa87ff, H, end color #aa87ff, right parenthesis . Therefore: If you know two angles of a triangle, it is easy to find the third one. Since the three interior angles of a triangle add up to 180 degrees you can always calculate the third angle like this: Let's suppose that you know a triangle has angles 90 and 50 and you want to know the third angle. Let's call the unknown angle x. x + 90 + 50 = 180 x + 140 = 180 x = 180 - 140 x = 40 As for the side lengths of the triangle, you need more information to figure those out. A triangle of side lengths 10, 14, and 9 has the same angles as a triangle with side lengths of 20, 28, and 18. From Wikipedia - Trigonometric Functions - Etymology The word sine derives from Latin sinus, meaning "bend; bay", and more specifically "the hanging f...

Step 1: Enter the values of any two angles and any one side of a triangle below which you want to solve for remaining angle and sides. Triangle calculator finds the values of remaining sides and angles by using Sine Law. Sine law states that a sin A = b sin B = c sin C Cosine law states that- a 2 = b 2 + c 2 - 2 b c . cos ( A ) b 2 = a 2 + c 2 - 2 a c . cos ( B ) c 2 = a 2 + b 2 - 2 a b . cos ( C ) Step 2: Click the blue arrow to submit. Choose "Solve the Triangle" from the topic selector and click to see the result in our Examples- Popular Problems- A = 4 5 , B = 5 2 , a = 1 5 a = 4 , b = 1 0 , c = 7 B = 1 2 7 , a = 3 2 , C = 2 5 B = 8 5 , C = 1 5 , b = 4 0 C = 3 , a = 1 6 , b = 3 3

\( A = \sin^ \right]\) A = angle A B = angle B C = angle C a = side a b = side b c = side c P = perimeter s = semi-perimeter K = area r = radius of inscribed circle R = radius of circumscribed circle *Length units are for your reference-only since the value of the resulting lengths will always be the same no matter what the units are. Calculator Use Uses the law of sines to calculate unknown angles or sides of a triangle. In order to calculate the unknown values you must enter 3 known values. Some calculation choices are redundant but are included anyway for exact letter designations. Calculation Methods To calculate any angle, A, B or C, say B, enter the opposite side b then another angle-side pair such as A and a or C and c. The performed calculations follow the To calculate any side, a, b or c, say b, enter the opposite angle B and then another angle-side pair such as A and a or C and c. The performed calculations follow the \( c = \dfrac \) Triangle Characteristics Triangle perimeter, P = a + b + c Triangle semi-perimeter, s = 0.5 * (a + b + c) Triangle area, K = √[ s*(s-a)*(s-b)*(s-c)] Radius of inscribed circle in the triangle, r = √[ (s-a)*(s-b)*(s-c) / s ] Radius of circumscribed circle around triangle, R = (abc) / (4K) References/ Further Reading MathWorld-- A Wolfram Web Resource. Zwillinger, Daniel (Editor-in-Chief).