Trigonometric Ratios of Multiples of an Angle
Trending Questions
Q. Let α, β be such that π<α−β<3π.Ifsin α+sin β=2165 and cos α+cos β=−2765, then the value of cosα−β2 is
Q.
If tan A2 = 32, then 1+cosA1−cosA =
-5
5
9/4
4/9
Q. Let f(θ)=sinθ(sinθ+sin3θ).Thenf(θ)is
- ≥0onlywhenθ ≥0
- ≤0forallralθ
- ≥0forallrealθ
- ≤0onlywhenθ ≤0
Q.
For a positive integer n, let
fn(θ)=(tanθ2)(1+secθ)(1+sec2θ)(1+sec4θ)…(1+sec2nθ).
Then
f2(π16)=1
f3(π32)=1
f4(π64)=1
f5(π128)=1
Q.
∑7r=0tan2(πr16)=
28
35
1
3
Q.
Find the value of sin3θ/(1+2cos2θ)
cos
cos
sin
cos
Q.
tan α+2tan 2α+4tan 4α+8cot 8α=
[IIT 1988; MP PET 1991]