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In this lesson, we will learn how to use Pythagorean trigonometric identities to solve trigonometric equations.

Q1:

Find the general solution of the equation sincos𝜃=5𝜃.

Q2:

Find the value of 𝑋 which gives the maximum value of the expression sincoscossin𝑋61+𝑋61∘∘, where 0<𝑋<360∘∘.

Q3:

Find the solution set for 𝑥 given sincoscossin𝑥35+𝑥35=√22∘∘ where 0<𝑥<360∘∘.

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