Question

If cos A + cos² A = 1, then sin² A + sin4 A
A. −1
B. 0
C. 1
D. None of these

Answer 1

Sin² A + Sin^4 A = 1

Step-by-step explanation:

Given: cos A + cos² A = 1

To Find: sin² A + sin^4 A

Solution:

cos A + cos² A = 1

Cos A = 1- Cos² A

Cos A = Sin² A ---------(1)

cos A + cos² A = 1

Substituting (1), we get:

Sin² A + (Sin² A)² = 1

Sin² A + Sin^4 A = 1

Option C is the answer.

Answer 2

$\huge{\colorbox{deeppink}{Answer}}$

C. 1✅

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