Simplifying/Verifying Trig Identities

Front

What is the definition of sine in a right triangle?

Back

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

Front

If sinθ = 3/5 and θ is in Quadrant II, what is the value of tanθ?

Back

tanθ = -3/4.

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²θ + cos²θ = 1.

Front

What is the definition of tangent in terms of sine and cosine?

Back

tanθ = sinθ/cosθ.

Front

What is the relationship between cotangent and tangent?

Back

cotθ = 1/tanθ.

Front

Simplify: tanx * cotx - cos²x. What is the result?

Back

sin²x.

Front

What is the value of cos²θ if sin²θ + cos²θ = 1 and sin²θ = 1/4?

Back

cos²θ = 3/4.

Front

What is the definition of cosecant?

Back

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

Front

What is the value of sin²θ + cos²θ?

Back

1.

Front

If cosθ = 4/5, what is sinθ in Quadrant II?

Back

sinθ = 3/5.