Sign of Trigonometric Ratios in Different Quadrants
Trending Questions
A wheel make 360 revolutions in one minute .Through how many radians does it turn in one second
cosA=−1213 and cotB=247, where A lies in the second quadrant and B in the third quadrant, find the values of the following:
(i)sin(A+B)
(ii)cos(A+B)
(iii)tan(A+B)
tanA+tan(60+A)+tan(60-A)=3tan3A
If cosA=−2425 and cosB=35, where π<A<3π2 and 3π2<B<2π, find the following:
(i)sin(A+B) (ii)cos(A+B)
3sin−1x=sin−1(3x−4x3), x∈[−12, 12]
Prove that:
tan69∘+tan66∘1−tan69∘tan66∘=−1
If tanθ+secθ=√3, 0<θ<π then is θ equal to
5π6
π6
2π3
π3
If then
If sin x = √53 and x lies in IInd quadrant, find the values of cos x2, and sin x2 and tan x2.
If tanθ=−1√5 and θ lies in the IV quadrant, then the value of cosθ is
2√6
12
√5√6
1√6
If , then the general value of is
- 1st quadrant
- 2nd quadrant
- 3rd quadrant
- 4th quadrant
(A, B, C, D≠π2)
- 1
- −1
- None of these
- 0
- 45
- 35
- 12
- 15
- has a unique solution if θ∈(π2, 2π3)∪(π, 7π6)
- have infinitely many solution if θ∈(π2, 2π3)∪(π, 7π6)
- has a unique solution if θ∈(π2, 2π3) and have infinitely many solutions if θ∈(π, 7π6)
- have infinitely many solutions if θ∈(π2, 2π3) and has a unique solution if θ∈(π, 7π6)
Prove that:
(i) If cos x=−35 and x lies in the IIIrd quadrant, find the values of cos x2, sin x2 and sin 2x.
(ii) If cos x=−35 and x lies in the IInd quadrant, find the values of sin 2x and sin x2
In a triangle ABC, 3sinA+4cosB=6 and 4sinB+3cosA=1.Find measure of angle C.
- 1
- 2cosθ
- 2sinθ
- 0
Find the value of .
- 12
- 1
- −32
- 32
is
- 9
- 0
- 7
- 8
- π2
- 3π4
- 3π2
- 7π4
- even function
- odd function
- neither even nor odd function
- both even and odd function