trig functions

Front

What is the definition of sine (sin) in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of cosine (cos) in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of tangent (tan) in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

What does SOH-CAH-TOA stand for?

Back

SOH-CAH-TOA is a mnemonic to remember the definitions of sine, cosine, and tangent: SOH = sin = opposite/hypotenuse, CAH = cos = adjacent/hypotenuse, TOA = tan = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

In which type of triangle can SOH-CAH-TOA be used?

Back

SOH-CAH-TOA can only be used in right triangles.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

cos(37) = x/14.

Tags

CCSS.HSG.SRT.C.7

Front

How do you find the missing angle in a right triangle if you know two sides?

Back

Use the inverse trigonometric functions (sin⁻¹, cos⁻¹, tan⁻¹) to find the angle.

Tags

CCSS.HSG.SRT.C.8

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

If the opposite side is 10 and the adjacent side is 5, what is the tangent of the angle?

Back

tan(θ) = opposite/adjacent = 10/5 = 2.

Tags

CCSS.HSG.SRT.C.6

Front

What is the value of sin(90°)?

Back

sin(90°) = 1.

Tags

CCSS.HSG.SRT.C.7