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Chapter 7: Q. 108 (page 475)

Write down the three Pythagorean Identities.

Short Answer

Expert verified

The three identities are

1.sin2θ+cos2θ=12.tan2θ+1=sec2θ3.cot2θ+1=cosec2θ

Step by step solution

01

Step 1. Given Information

The given information is to write the three Pythagorean identities.

02

Step 2. Explanation

The three Pythagorean identities are as follows,

1.sin2θ+cos2θ=12.tan2θ+1=sec2θ3.cot2θ+1=cosec2θ

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Most popular questions from this chapter

Establish each identity.

1+sinθ+cosθ1+sinθ-cosθ=1+cosθsinθ

Rewrite over a common denominator:

11-cos(v)+11+cos(v)

Establish each identity.

1+cosθ+sinθ1+cosθ-sinθ=secθ+tanθ

True or False : In establishing an identity, it is often easiest to just multiply both sides by a well-chosen nonzero expression involving the variable.

If z=tanα2, show that sinα=2z1+z2.
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