TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin \theta+\sin ^2 \theta=1\) and \(\cos ^{12} \theta+a \cos ^{10} \theta+b \cos ^8 \theta+c \cos ^6 \theta+d=0\), then
- A \(a b=c d\)
- B \(a c=b d\)
- C \(a b+c d=0\)
- D \(a c+b d=0\)
Answer & Solution
Correct Answer
(D) \(a c+b d=0\)
Step-by-step Solution
Detailed explanation
We have, \[ \Rightarrow \quad \begin{aligned} \sin \theta+\sin ^2 \theta & =1 \Rightarrow \sin \theta=1-\sin ^2 \theta \\ \sin \theta & =\cos ^2 \theta \end{aligned} \] We know that,…
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