Trigonometry Review

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

What is the formula to find the missing angle in a right triangle using trigonometric ratios?

Back

Use the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹ depending on the sides given.

Front

If tan T = 12/5, what is the opposite side if the adjacent side is 5?

Back

The opposite side is 12.

Front

What is the Pythagorean theorem?

Back

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

Front

How do you find the sine (sin) of an angle in a right triangle?

Back

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

Front

If sin A = 0.6, what is the value of A in degrees?

Back

A = sin⁻¹(0.6) ≈ 36.9°.

Front

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

Back

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

Front

If cos B = 0.8, what is the value of B in degrees?

Back

B = cos⁻¹(0.8) ≈ 36.9°.

Front

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

Back

The sum of the angles in a right triangle is always 180°, with one angle being 90°.

Front

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

Back

Use the formula: opposite = hypotenuse × sin(angle).