Trigonometry Questions with Solution for SSC CGL, CHSL, CPO Competitive Exams. Mock Test for free online practice – All type from previous year papers.
Quiz : Trigonometry MCQs
Subject : Mathematics
Important Questions with Solutions
Results
#1. If $ 0 \leq\theta\leq\frac{\pi}{2} $ and $ sec^2\theta + tan^2\theta = 7 $ then $ \theta $ is
#2. If the sum and difference of two angles are $ \frac{22}{9} $ radian and 36° respectively, then the value of smaller angle in degree taking the value of $ \pi $ as $ \frac{22}{7} $ is.
#3. In circular measure, the value of the angle $ 11^\circ $15′ is
#4. Solve cot $ 9^\circ $ cot $ 27^\circ $ cot $ 63^\circ $ cot $ 81^\circ $
#5. If tan θ − tan 30° tan 60° and θ is an acute angle, then 2θ is equal to
#6. If $ tanθ + cotθ = 5 $, then tan2θ + cot2θ is:
#7. If $ \dfrac{x-x \text{ tan}^2 30}{1+\text{tan}^2 30}$ = sin2 30 + 4cot2 45 – sec2 60, then the value of $ x $ is:
#8. If $ \dfrac {sin \theta + cos \theta} { sin\theta \text{-} cos\theta} =3$ , then the value of $ sin^4 \theta $ is
#9. If $ sin A + sin^2 A = 1 $, then the value of $ cos^2 A + cos^4 A $ is
#10. If $ 4 sin^2 \theta -1 = 0 $ and the angle $ \theta $ is less than 90°, then the value of $ cos^2 \theta + \tan^2 \theta $ $ (take\: 0^\circ <\theta< 90^\circ) $ is
#11. If $ sec\:x + cos\:x = 2 $, then the value of $ sec^{16}\:x + cos^{16} \:x $ will be.
#12. If $ cos\:x + cos^2\:x = 1 $, then $ sin^8\: x + 2 sin^6 \:x + sin^4\:x $ is equal to
#13. If A is an acute angle and cot A + cosec A = 3, then the value of sin A is :
#14. If tan $ 9^\circ = \frac {p}{q} $, then the value of $ \frac{sec^2\: 81^\circ}{1 + cot^2\: 81^\circ} $ is
#15. If $ \sin\theta =\frac {3}{5} $ , then the value of $ \frac {tan\:\theta + cos\: \theta}{cot\:\theta + cosec\: \theta} $ is equal to
#16. If α and β are positive acute angles, then sin (4α – β) = 1 and cos (2α + β) = $ \frac12 $, then the value of sin (α + 2β) is
#17. Simplify: $ \dfrac{sin 25^\circ cos 65^\circ + cos 25^\circ sin 65^\circ}{tan^2 70^\circ \text{- } cosec^2 20^\circ} $
#18. If 0° < 0 < 90° and 2 sin2θ + 3 cosθ = 3 , then the value of θ is
#19. If tan θ +cot θ = 2 , then the value of tan100θ + cot100θ is
#20. The equation $ cos^2 \: \theta = \frac {(x+y)^2}{4xy} $ is only possible when
#21. If cos4θ – sin4θ = 2/3, then the value of 1 – 2 sin2θ is
#22. If 7 sin2θ + 3 cos2θ = 4 $ (0^0 \leq \theta \leq 90^\circ) $, then the value of θ is :
#23. If A = tan 11° tan 29°, B = 2 cot 61° cot 79°, then which of the following is correct?
#24. The measure of the angles of a triangle is in the ratio 2 : 7 : 11. The measures of angle are
#25. A 10 metre long ladder is placed against a wall. It is inclined at an angle of 30° to the ground. The distance (in m) of the foot of the ladder from the wall is (Given = $ \sqrt3 =1.732) $
#26. If a 48 m tall building has a shadow of 48 $ \sqrt3 $ m, then the angle of elevation of the sun is
#27. The angle of elevation of sun changes from 30° to 45°, the length of the shadow of a pole decreases by 4 metres, the height of the pole is (Assume $ \sqrt3 =1.732 $)
#28. Two poles of equal height are standing opposite to each other on either side of a road which is 100 m wide. From a point between them on road, the angles of elevation of their tops are 30° and 60° The height of each pole (in metre) is
#29. The angle of depression of a point situated at a distance of 70 m from the base of a tower is 60° The height of the tower is :
#30. From a tower 125 metres high, the angle of depression of two objects, which are in horizontal line through the base of the tower are 45° and 30° and they are on the same side of the tower. The distance (in metres) between the objects is
