ACTIVITY Trigonometric Ratios-Labeling and Writing Trig Ratios

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.

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.

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.

Front

If the hypotenuse is 30 and the adjacent side is 24, what is cos Z? (Do NOT simplify)

Back

Front

If the opposite side is 3 and the adjacent side is 4, what is tan X? (Simplify if possible)

Back

Front

If the opposite side is 20 and the hypotenuse is 29, what is sin X? (Simplify if possible)

Back

Front

If the adjacent side is 3 and the hypotenuse is 5, what is cos D? (HINT: Find the missing side length)

Back

Front

What is the opposite side to angle D in a triangle with sides EF, DF, and DE?

Back

EF

Front

What is the relationship between sine and cosine for any angle?

Back

For any angle, sin^2(θ) + cos^2(θ) = 1.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a^2 + b^2 = c^2, where c is the hypotenuse.