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.

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Q1.

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

(A)

\(n\pi+\frac{\pi}{4}\) \((n\in \mathbb{Z})\)

(B)

\(n\pi-\frac{\pi}{4}\) \((n\in \mathbb{Z})\)

(C)

\(n\pi\pm\frac{\pi}{4}\) \((n\in \mathbb{Z})\)

(D)

\(2n\pi\pm\frac{\pi}{4}\) \((n\in \mathbb{Z})\)

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Q2.

If \(\dfrac{1-\cos2\theta}{1+\cos2\theta}=3\), then the general solution of \(\theta\) is -

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

(A)

\(2n\pi \pm \frac{\pi}{6}\)

(B)

\(n\pi \pm \frac{\pi}{6}\)

(C)

\(2n\pi \pm \frac{\pi}{3}\)

(D)

\(n\pi \pm \frac{\pi}{3}\)

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