Trigonometry Test for SSC CGL 10 Qs | 10 Marks | 5 Mins No negative marking Please input correct details for the leaderboard Name Email City 1. Simplify $\frac{(\sin \theta + \sec \theta)^2 + (\cos \theta + \csc \theta)^2}{(1 + \sec \theta \csc \theta)^2}$, where $0^\circ < \theta < 90^\circ$. 2 -1 0 1 None 2. If $\sec \theta = \frac{25}{24}$, then what is the value of $\sin \theta$? 25/7 24/7 24/25 7/25 None 3. If $6\tan A (\tan A + 1) = 5 - \tan A$, given that $0 < A < \frac{\pi}{2}$, what is the value of $(\sin A + \cos A)$? 5$\sqrt{3}$ $\frac{3}{{\sqrt 5 }}$ $\frac{5}{{\sqrt 3 }}$ 3$\sqrt{5}$ None 4. If $3\cos^2\theta - 4\sin\theta + 1 = 0$, $0^\circ < \theta < 90^\circ$, then $\tan\theta + \sec\theta = ?$ 3√3 2√3 √5 2√5 None 5. If $0^\circ < \theta < 90^\circ$, $\sqrt{\frac{\sec^2 \theta + \csc^2 \theta}{\tan^2 \theta - \sin^2 \theta}}$ is equal to: $sin2θ$ $sec^3θ$ $cosec^3θ$ $sec^2θ$ None 6. Find the value of $\tan 35^\circ \cot 40^\circ \tan 45^\circ \cot 50^\circ \tan 55^\circ$. $\frac{1}{2}$ -1 $\frac{1}{\sqrt2}$ 1 None 7. The value of $\frac{1 - 2\sin^2\theta\cos^2\theta}{\sin^4\theta + \cos^4\theta} - 1$ is: – cos2θ 1 -1 0 None 8. If $2k \sin 30^\circ \cos 30^\circ \cot 60^\circ = \frac{\cot^2 30^\circ \sec 60^\circ \tan 45^\circ}{\csc^2 45^\circ \csc 30^\circ}$, then find the value of $k$. $\frac{3}{2}$ 6 1 3 None 9. If $\tan \theta + 3 \cot \theta - 2\sqrt{3} = 0$ and $0^\circ < \theta < 90^\circ$, then what is the value of $(\csc^2 \theta + \cos^2 \theta)$? $\frac{2}{3}$ $\frac{14}{3}$ $\frac{11}{12}$ $\frac{19}{12}$ None 10. The value of $\frac{\sec^2 60^\circ \cos^2 45^\circ + \csc^2 30^\circ }{\cot 30 ^\circ \sec^2 45 ^\circ - \csc^2 30 ^\circ \tan 45 ^\circ}$ is -3(2 - √3) 3(2 + √3) -3(2 + √3) 3(2 - √3) None 1 out of 10 Practice SSC CGL Topic wise Mock Tests Crack SSC CGL with Adaptive Practice Adaptive Practice | Real Time Progress Start Practice!
