In a ΔABC, if &ang;A = `π/2`, then cos2 B + cos2 C is equal to ______.

In a ΔABC, if &ang;A = `π/2`, then cos2 B + cos2 C is equal to 1. Explanation: cos2 B + cos2 C = `cos^2B + cos^2(π/2 -B)` = cos2 B + sin2 B = 1

English

In a ΔABC, if ∠A = ππ2, then cos2 B + cos2 C is equal to ______. -

In a ΔABC, if ∠A = `π/2`, then cos² B + cos² C is equal to ______.

MCQ

Fill in the Blanks

In a ΔABC, if ∠A = `π/2`, then cos² B + cos² C is equal to 1.

Explanation:

cos² B + cos² C

= `cos^2B + cos^2(π/2 -B)`

= cos²B + sin² B

= 1

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Trigonometric Functions of Allied Angels

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