MHT CET · Maths · Trigonometric Equations
The number of solutions of \(16^{\sin ^2 x}+16^{\cos ^2 x}=10\) in \(0 \leqslant x \leqslant 2 \pi\) are
- A \(8\)
- B \(10\)
- C \(6\)
- D \(4\)
Answer & Solution
Correct Answer
(A) \(8\)
Step-by-step Solution
Detailed explanation
Let \(y = \sin^2 x\). Then \(\cos^2 x = 1 - y\). \(16^y + 16^{1-y} = 10\)
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