Trig Ratios

Front

What is the definition of cosine in a right triangle?

Back

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

Front

What is the definition of sine in a right triangle?

Back

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

Front

What is the definition of tangent in a right triangle?

Back

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

Front

What is the relationship between sine, cosine, and tangent?

Back

tan(θ) = sin(θ) / cos(θ) for any angle θ.

Front

If the hypotenuse is 10 and the opposite side is 6, what is sin(θ)?

Back

sin(θ) = opposite/hypotenuse = 6/10 = 0.6.

Front

If the adjacent side is 8 and the hypotenuse is 10, what is cos(θ)?

Back

cos(θ) = adjacent/hypotenuse = 8/10 = 0.8.

Front

If the opposite side is 5 and the adjacent side is 12, what is tan(θ)?

Back

tan(θ) = opposite/adjacent = 5/12.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the sine rule?

Back

In any triangle, a/sin(A) = b/sin(B) = c/sin(C), where a, b, c are the sides and A, B, C are the opposite angles.

Front

What is the cosine rule?

Back

In any triangle, c² = a² + b² - 2ab*cos(C), where a, b, c are the sides and C is the angle opposite side c.