Understand where the pythagorean identities come from

What is the primary relationship discussed in the context of right triangles?

• The relationship between tangent and secant

• The relationship between angles and sides

• The Pythagorean theorem

• The relationship between sine and cosine

How is the Pythagorean identity typically expressed using trigonometric functions?

• sin²(θ) - cos²(θ) = 1

• tan²(θ) + sec²(θ) = 1

• cos(θ) + sin(θ) = 1

• cos²(θ) + sin²(θ) = 1

What is the correct way to write the square of cosine of an angle?

• cos(θ) * cos(θ)

• cos(θ)²

• cos²(θ)

• cos(θ) + cos(θ)

What happens if you square the angle instead of the trigonometric function?

• You get the same result

• You square the function

• You solve a different problem

• You get a negative result

What is the result of dividing sine squared by cosine squared?

• Tangent squared

• Secant squared

• Cotangent squared

• Cosecant squared

Which trigonometric function is the reciprocal of cosine?

• Sine

• Tangent

• Secant

• Cosecant

What is the Pythagorean identity involving cotangent and cosecant?

• cot²(θ) + csc²(θ) = 2

• cot²(θ) + csc²(θ) = 0

• cot²(θ) + csc²(θ) = 1

• cot²(θ) - csc²(θ) = 1