Class 11

12. Trigonometric Equations and Inequations question bank (Maths)

Practice 30 free Class 11 Maths - 12. Trigonometric Equations and Inequations questions with answers and step-by-step solutions.

Q1.

The smallest positive angle satisfying the equation \(1+\cos3x-2\cos2x=0\) is equal to

(A)
\(15^{\circ}\)
(B)
\(22.5^{\circ}\)
(C)
\(30^{\circ}\)
(D)
\(45^{\circ}\)
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Q2.

If \(\tan\theta-\sqrt{2}\sec\theta=\sqrt{3}\), then the general solution of \(\theta\) is -

where \(n\in\mathbb{Z}\)

(A)
\(n\pi+(-1)^{n}\frac{\pi}{4}-\frac{\pi}{3}\)
(B)
\(n\pi+(-1)^{n}\frac{\pi}{3}-\frac{\pi}{4}\)
(C)
\(n\pi+(-1)^{n}\frac{\pi}{3}+\frac{\pi}{4}\)
(D)
\(n\pi+(-1)^{n}\frac{\pi}{4}+\frac{\pi}{3}\)
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