Trig Ratios, Missing Sides and Angles

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 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 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 relationship between sine and cosine?

Back

sin²θ + cos²θ = 1 for any angle θ.

Front

What is the secant (sec) function?

Back

Secant (sec) is the reciprocal of cosine: secθ = 1/cosθ.

Front

What is the cosecant (csc) function?

Back

Cosecant (csc) is the reciprocal of sine: cscθ = 1/sinθ.

Front

What is the cotangent (cot) function?

Back

Cotangent (cot) is the reciprocal of tangent: cotθ = 1/tanθ.

Front

How do you find the missing angle in a right triangle using trigonometric ratios?

Back

Use the inverse trigonometric functions (sin⁻¹, cos⁻¹, tan⁻¹) to find the angle based on known side lengths.

Front

In a 45-45-90 triangle, what are the ratios of the sides?

Back

The sides are in the ratio 1:1:√2.

Front

In a 30-60-90 triangle, what are the ratios of the sides?

Back

The sides are in the ratio 1:√3:2.