Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesMix Examples-Trigonometrical Ratios, Functions and Identities
Medium$\frac{\cos 12^{\circ}-\sin 12^{\circ}}{\cos 12^{\circ}+\sin 12^{\circ}}+\frac{\sin 147^{\circ}}{\cos 147^{\circ}} = $
- A$-2$
- B$0$
- C$-1$
- D$1$
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मान लीजिए $P = \{ \theta : \sin \theta - \cos \theta = \sqrt{2} \cos \theta \}$ और $Q = \{ \theta : \sin \theta + \cos \theta = \sqrt{2} \sin \theta \}$ दो समुच्चय हैं। तो
DifficultIIT 2011
View Solutionयदि $0 \leq x \leq 3$ और $0 \leq y \leq 3$ है,तो समीकरण $\left(\sqrt{\sin^2 x - \sin x + \frac{1}{2}}\right) 2^{\sec^2 y} = 1$ के हलों $(x, y)$ की संख्या क्या है?
यदि $0 < \theta < \frac{\pi}{2}$ और $\sin \theta \cos \theta = \frac{12}{25}$ है,तो $\sin^4 \theta + \cos^4 \theta$ का मान ज्ञात कीजिए।
$\sum_{k=1}^3 \cos ^2\left((2 k-1) \frac{\pi}{12}\right)$ का मान ज्ञात कीजिए।
DifficultTS EAMCET 2002
View Solutionव्यंजक $\frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A}$ को इस प्रकार लिखा जा सकता है:
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