SOH CAH TOA

Front

What does SOH CAH TOA stand for?

Back

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

Front

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

Back

Sine (sin) of an angle = Opposite side / Hypotenuse

Front

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

Back

Cosine (cos) of an angle = Adjacent side / Hypotenuse

Front

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

Back

Tangent (tan) of an angle = Opposite side / Adjacent side

Front

If the opposite side is 32 and the hypotenuse is 40, what is sinA?

Back

sinA = 32/40 = 0.8

Front

If the adjacent side is 24 and the hypotenuse is 40, what is cosA?

Back

cosA = 24/40 = 0.6

Front

If the opposite side is 32 and the adjacent side is 24, what is tanA?

Back

tanA = 32/24 = 1.33

Front

How do you find the missing side of a right triangle using SOH CAH TOA?

Back

Use the appropriate ratio (sine, cosine, or tangent) based on the known sides and the angle.

Front

What is the relationship between the angles and sides in a right triangle?

Back

The ratios of the lengths of the sides are constant for a given angle, which is the basis for SOH CAH TOA.

Front

If you know two sides of a right triangle, how can you find the angles?

Back

Use the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹.