Prove that: sin²(45°+Θ) +sin²(45°-Θ) = 1 |Trigonometric Ratios of Compound Angles | Trigonometry | SciPiPupil

Prove that: sin^2(45°+Θ) +sin^2(45°-Θ) = 1 

 ANSWER:

You need to first understand the formula of compound angles in order to solve such Trigonometric questions for compound angles in Trigonometry of Mathematics.

And after you apply the formula, you can simply square the given formula as
Sin²(a+b) = {sin(a+b)}²
And,
Sin²(a-b) = {sin(a-b)}²
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