Sum of Trigonometric Ratios in Terms of Their Product
Trending Questions
Q.
If then are in
None of these
Q.
is equal to
Q.
Which of the following relations is incorrect?
sinA+sinB=2sin(A+B)2cos(A−B)2
sinA−sinB=2sin(A−B)2cos(A+B)2
cosA+cosB=2cos(A+B)2cos(A−B)2
cosA−cosB=2sin(A+B)2sin(A−B)2
Q. If θ=π2100+1, then cosθcos2θcos22θ⋯cos299θ is
- 12100
- 1299
- 12101
- 12200
Q. The function(s) which are not having 2π as it's period is/are
- f(t)=sin(2πt+π3)+2sin(3πt+π4)+3sin5πt
- h(t)=sint+cos2t
- g(t)=sinπ3t+sinπ4t
- k(t)=sin2π3t+sinπ4t
Q. cosθ+cos(240∘+θ)+cos(240∘−θ)=
- \N
- 1
- 14
- 34
Q.
If , then
none of these
Q. ∫sin6θ+sin2θ+sin4θ+sin8θ4sin5θcos2θcosθdθ=
(where c is constant of integration)
(where c is constant of integration)
- cosθ+c
- −cosθ+c
- sinθ+c
- θ+c
Q. sin7x+6sin5x+17sin3x+12sin xsin6x+5sin4x+12sin2x
is equal to
is equal to
- cos x
- 2cos x
- sin x
- 2sin x
Q. If cos2B=cos(A+C)cos(A−C), then tanA, tanB, tanC are in
- A.P.
- G.P.
- H.P.
- None of these
Q. The value of cos50∘+cos70∘+cos170∘ is
- −1
- −12
- 0
- 12
Q. If fn(θ)=cosθ2+cos2θ+cos7θ2+⋯+cos(3n−2)θ2sinθ2+sin2θ+sin7θ2+⋯+sin(3n−2)θ2, then which among the following is (are) CORRECT?
- f1(π2)=1
- f3(3π16)=√2+1
- f3(3π16)=√2−1
- f5(π28)=√2+1
Q.
The maximum value of cos2(π3−x)−cos2(π3+x) is
- √32
12
√32
32
Q.
1+cos 56∘+cos 58∘−cos 66∘=
2cos28∘ cos29∘ cos33∘
4cos28∘ cos29∘ cos33∘
4cos28∘ cos29∘ sin33∘
2cos28∘ cos29∘ sin33∘
Q. (cos A+cos Bsin A−sin B)n+(sin A+sin Bcos A−cos B)n (n even or odd)=
- 2 tannA−B2
- 2 cotnA−B2
- 0
- None of these
Q. If sin3θ+sin3(θ+2π3)+sin3(θ+4π3)=asinbθ, then the value of ∣∣∣ba∣∣∣ is
Q.
If , then prove that .
Q. If fn(θ)=cosθ2+cos2θ+cos7θ2+⋯+cos(3n−2)θ2sinθ2+sin2θ+sin7θ2+⋯+sin(3n−2)θ2, then which among the following is (are) CORRECT?
- f1(π2)=1
- f3(3π16)=√2+1
- f3(3π16)=√2−1
- f5(π28)=√2+1