Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesMix Examples-Trigonometrical Ratios, Functions and Identities
Medium$\tan 20^{\circ} \tan 80^{\circ} \cot 50^{\circ}$ का मान ज्ञात कीजिए।
- A$\sqrt{3}$
- B$\frac{1}{\sqrt{3}}$
- C$\frac{1}{2 \sqrt{3}}$
- D$2 \sqrt{3}$
Explore More
Similar Questions
यदि $\sin ^{2} \theta+3 \cos \theta=2$ है, तो $\cos ^{3} \theta+\sec ^{3} \theta$ का मान ज्ञात कीजिए।
DifficultWBJEE 2013
View Solution$\cos 20^{\circ} + 2 \sin^2 55^{\circ} - \sqrt{2} \sin 65^{\circ}$ का मान है
List-$I$ की वस्तुओं का मिलान List-$II$ की प्रविष्टियों से कीजिए।
List-$I$ List-$II$ $(I)$ $\sin^2 5^{\circ} + \sin^2 10^{\circ} + \sin^2 15^{\circ} + \dots + \sin^2 90^{\circ}$ $(A)$ $0$ $(II)$ $\tan^2 5^{\circ} \cdot \tan^2 10^{\circ} \cdot \tan^2 15^{\circ} \dots \tan^2 85^{\circ}$ $(B)$ $\frac{19}{2}$ $(III)$ $\cos^2 5^{\circ} + \cos^2 10^{\circ} + \cos^2 15^{\circ} + \dots + \cos^2 180^{\circ}$ $(C)$ $18$ $(IV)$ $\cot 5^{\circ} + \cot 10^{\circ} + \cot 15^{\circ} + \dots + \cot 175^{\circ}$ $(D)$ $1$ $(E)$ $-1$
| List-$I$ | List-$II$ |
| $(I)$ $\sin^2 5^{\circ} + \sin^2 10^{\circ} + \sin^2 15^{\circ} + \dots + \sin^2 90^{\circ}$ | $(A)$ $0$ |
| $(II)$ $\tan^2 5^{\circ} \cdot \tan^2 10^{\circ} \cdot \tan^2 15^{\circ} \dots \tan^2 85^{\circ}$ | $(B)$ $\frac{19}{2}$ |
| $(III)$ $\cos^2 5^{\circ} + \cos^2 10^{\circ} + \cos^2 15^{\circ} + \dots + \cos^2 180^{\circ}$ | $(C)$ $18$ |
| $(IV)$ $\cot 5^{\circ} + \cot 10^{\circ} + \cot 15^{\circ} + \dots + \cot 175^{\circ}$ | $(D)$ $1$ |
| $(E)$ $-1$ |
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 $\frac{\cos (\theta_1+\theta_2)}{\cos (\theta_1-\theta_2)}+\frac{\cos (\theta_3-\theta_4)}{\cos (\theta_3+\theta_4)}=0$ है,तो $\cot \theta_1 \cdot \cot \theta_2 \cdot \cot \theta_3 \cdot \cot \theta_4=$
DifficultTS EAMCET 2020
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo