AP EAMCET · Maths · Trigonometric Equations
If \(\cos (x)+\cos ^2(x)=1\), then \(\sin ^2(x)+\sin ^4(x)\) is equal to
- A 0
- B 1
- C -1
- D 2
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
It is given that, \(\begin{aligned} \cos x+\cos ^2 x & =1 \Rightarrow \cos x=\sin ^2 x \\ \therefore \quad \sin ^2 x+\sin ^4 x & =\cos x+\cos ^2 x=1 \end{aligned}\) Hence, option (b) is correct.
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