(a) State the algebraic relation between and for any acute angle . (b) Prove that for…

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

(a) State the algebraic relation between

\sin^2 A

and

\cos^2 A

for any acute angle

A

. (b) Prove that

\dfrac{1 - \sin^2 A}{\cos^2 A} = 1

for an acute angle

A

. (c) Hence, show that

(1 - \sin A)(1 + \sin A) = \cos^2 A