Trigonometry Questions and Answers for Competitive Exams
Trigonometry is the oldest topic in the history of mathematics. This topic is mainly related to the sides of triangles and the angles of different figures. Unknown sides and angles are studied using trigonometry formulas or trigonometric identities. In trigonometry, angles are measured in degrees or radians.
The important angles are 0°, 30°, 45°, 60°, and 90°. Don't be the fear of this topic remains in the mind of the students, we have sharing practice questions here related to Trigonometry Questions and Answers for the competitive exams. Start your practice below with some important questions for you.
Trigonometry Maths Questions
Q : (Cos 0°+Sin 45° +Sin 30°)(Sin 90°-Cos 45°+ Cos 60°) is equal to:
(A) $$ {7\over 4}$$
(B) $$ {5\over 8}$$
(C) $$ {5\over 6}$$
(D) $$ {3\over 5}$$
Correct Answer : A
ΔPQR is right angled at Q. If cos P = 3/5, then what is the value of cos R?
(A) $$ {3\over4}$$
(B) $$ {5\over3}$$
(C) $$ {4\over5}$$
(D) $$ {4\over3}$$
Correct Answer : C
If sec x + cos x = 2, then the value of sec16 x + cos16 x will be-
(A) 2
(B) 0
(C) 1
(D) √3
Correct Answer : A
Simplify $$ ({Sinθ\over{1+cosθ}}+{1+cosθ\over sinθ})({1\over (tanθ+cotθ)})$$
(A) $$ {cos{\ θ}}$$
(B) $$ {2sin{\ θ}}$$
(C) $$ {sin{\ θ}}$$
(D) $$ {2cos{\ θ}}$$
Correct Answer : D
If Cos A + Cos2 A = 1, then Sin2 A + Sin4 A=?
(A) 0
(B) 1
(C) $$ {1\over 2}$$
(D) -1
Correct Answer : B
If cosec θ=1.25 then $$ {4 \ tanθ-5 \ cosθ + 1\over secθ+ 4cotθ-1}=?$$
(A) $$ {9\over 10}$$
(B) 2
(C) $$ {10\over 11}$$
(D) $$ {1\over 2}$$
Correct Answer : C
One angle of a triangle is 55°. If the other two angles are in the ratio 9:16, find the angles?
(A) 65° और 115°
(B) 90° और 160°
(C) 55°और 165°
(D) 45° और 80°
Correct Answer : D
If a=tanθ + 1 and b=sinθ+cosθ then find (b2-1)a=?
(A) ab
(B) 2bsecθ
(C) 2b
(D) 2bsin θ
Correct Answer : D
If $$ {sin\ {θ}}={1\over {\sqrt{2}}}$$ then (tanθ+cosθ)=?
(A) $${1\over{\sqrt{2}}}$$
(B) $${2\over{\sqrt{2}}}$$
(C) $${3\over{\sqrt{2}}}$$
(D) $$ {(1+\sqrt{2})\over{\sqrt{2}}}$$
Correct Answer : D
If 1 + sin2 A = 3 sin A cos A, then what are the possible values of tan A?
(A) 1, 0
(B) 1, 1/2
(C) 1 , 1/3
(D) 1, 3
Correct Answer : B