9.2 Trigonometry Day 1 FLASHCARDS: optional Practice

Front

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

Back

Front

How do you find the length of a side using cosine?

Back

To find the length of a side using cosine, use the formula: cos(θ) = adjacent/hypotenuse. Rearranging gives: adjacent = hypotenuse * cos(θ).

Front

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

Back

Front

How do you find the length of a side using tangent?

Back

To find the length of a side using tangent, use the formula: tan(θ) = opposite/adjacent. Rearranging gives: opposite = adjacent * tan(θ).

Front

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

Back

Front

How do you find the length of a side using sine?

Back

To find the length of a side using sine, use the formula: sin(θ) = opposite/hypotenuse. Rearranging gives: opposite = hypotenuse * sin(θ).

Front

If sin(θ) = 0.6, what is the value of cos(θ) if θ is in the first quadrant?

Back

Using the Pythagorean identity: cos(θ) = sqrt(1 - sin²(θ)) = sqrt(1 - 0.6²) = sqrt(0.64) = 0.8.

Front

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

Back

The relationship is given by: tan(θ) = sin(θ)/cos(θ).

Front

If tan(θ) = 3/4, what are the lengths of the opposite and adjacent sides if the hypotenuse is 5?

Back

Using the Pythagorean theorem, opposite = 5 * (3/5) = 3 and adjacent = 5 * (4/5) = 4.

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.