Trigonometry Questions for SSC CGL

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

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