Trigonometry soh cah toa

Front

What does SOH CAH TOA stand for in trigonometry?

Back

SOH CAH TOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent functions: - SOH: Sine = Opposite / Hypotenuse - CAH: Cosine = Adjacent / Hypotenuse - TOA: Tangent = Opposite / Adjacent

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If sin(37°) = x/14, what is the correct ratio?

Back

cos(37°) = x/14.

Front

How do you find the missing angle in a right triangle using trigonometric ratios?

Back

You can use the inverse trigonometric functions (sin⁻¹, cos⁻¹, tan⁻¹) to find the angle if you know the lengths of the sides.

Front

What is the formula to find the length of a side using sine?

Back

The formula is: Opposite = Hypotenuse * sin(angle).

Front

What is the formula to find the length of a side using cosine?

Back

The formula is: Adjacent = Hypotenuse * cos(angle).

Front

What is the formula to find the length of a side using tangent?

Back

The formula is: Opposite = Adjacent * tan(angle).

Front

If sin(22°) = 2/x, how do you find x?

Back

Rearrange the equation to x = 2/sin(22°). Calculate to find x.