What is the value of tan75° + cot75°
2
4
23
43
What is the value of cos46°cos47°cos48°cos49°cos50° ... cos135° = ?
- 1
0
1
Greater than 1
If sin2θ = cos3θ, where 0 < θ < π2, then what is sinθ = ?
5 + 14
5 - 14
5 + 116
5 - 116
B.
We have,sin2θ = cos3θsin2θ = cosθ + 2θsin2θ = cosθcos2θ - sinθsin2θ2sinθcosθ = cosθ1 - 2sin2θ - 2sin2θcosθ2sinθ = 1 - 2sin2θ - 2sin2θ4sin2θ + 2sinθ - 1 = 0sinθ = - 2 ± 22 - 44 - 12 × 4 sinθ = - 2 ±4 + 168sinθ = - 1 ± 54sinθ = 5 - 14
0 < θ < π2
If the roots of the equation x2 + px + q = 0 are tan(190) and tan(26°), then which one of the following is correct?
q - p = 1
p - q = 1
p + q = 2
p + q = 3
what is 1 + tanαtanβ2 + tanα - tanβ2 - sec2αsec2β = ?
If p = cscθ - cotθ and q = cscθ - cotθ - 1, then which one of the following is correct?
pq = 1
p = q
p + q = 1
p + q = 0
What is the least value of 25cosec2(x) + 36sec2(x) ?
11
120
121
If sinθ + cosθ = 2cosθ, then what is cosθ - sinθ = ?
- 2cosθ
- 2sinθ
2sinθ
If sinθ = - 12 and tanθ = 13, Then in which quadrant does θ lie ?
First
Second
Third
Fourth
If sinx = 15, siny = 110, where 0 < x < π2, 0 < y < π2, then what is x + y = ?
π
π2
π4