Trigonometry Important Questions for Competitive Exams
The greatest value of $$ Sin^{4}θ+Cos^{4}θ $$ is:
(A) 2
(B) 3
(C) $${1\over2}$$
(D) 1
Correct Answer : D
The value of sec4 A (1 – sin4A) – 2tan2A is:
(A) $$ {1\over 2} $$
(B) 0
(C) 2
(D) 1
Correct Answer : D
The value of $$(x^{b+c})^{b-c}. (x^{c+a})^{c-a}.(x^{a+b})^{a-b}$$ when (x≠0).
(A) 1
(B) 2
(C) -1
(D) 0
Correct Answer : A
If 0 ≤ θ ≤ 900 and 4cos2θ - $$4{\sqrt { 3} \ }cosθ$$ + 3 = 0, then the value of θ is :
(A) $$30^0$$
(B) $$90^0$$
(C) $$45^0$$
(D) $$60^0$$
Correct Answer : A
(A) $$ {4 \over 13}$$
(B) $$ {12 \over 2\sqrt{13}}$$
(C) $$ {13 \over 2\sqrt{15}}$$
(D) $$ {2 \over 13}$$
Correct Answer : B
The value of $$ sec{^4}A(1-sin{^4}A)-2tan{^2}A $$ is:
(A) $$ {1\over2}$$
(B) 0
(C) 2
(D) 1
Correct Answer : D
Explanation :
Put A=45 degree and we can get answer.
If tan2θ +cot2θ = 2, then what is the value of 2secθ cosecθ?
(A) 0
(B) 1
(C) 2
(D) 4
Correct Answer : D