Is sqrt (1 - sin^2 θ) = cos θ true? if so, in which quadrants does angle θ terminate?

Question

Mathematics

Aspen Leach

28 January, 05:59

Is sqrt (1 - sin^2 θ) = cos θ true? if so, in which quadrants does angle θ terminate?

+2

Answers (1)

Know the Answer?

Camryn Romero · Answer 1

I and IV

Step-by-step explanation:

Since 1-sin (θ) ² = cos (θ) ², the given equation is equivalent to ...

√ (cos (θ) ²) = |cos (θ) | = cos (θ)

This will be true where the cosine is non-negative, in the first and fourth quadrants.