TS EAMCET · Maths · Trigonometric Equations
When \(a\) is irrational, the number of solutions satisfying the equation \(1+\sin ^2 a x=\cos x\) is
- A 1
- B 0
- C 2
- D Infinite
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
We have, \[ 1+\sin ^2 a x=\cos x \] Now, \(1+\sin ^2 a x \geq 1\) and \(-1 \leq \cos x \leq 1\) \(\therefore\) It is possible only…
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