If 1/(1 - sin θ) + 1/(1 + sin θ) = 4 sec θ, (0 < θ < 90°), then the value of (cot θ + cosec θ) is:
√3
The given equation simplifies to cot θ + cosec θ = √3.
Find the value of \(\frac{\cos41}{\sin49} + \frac{\sin51}{\cos39}\)
Let x = r cos(t), y = r sin(t) cos(u), z = r sin(t) sin(u). Then the value of x² + y² + z² is:
The value of \(\frac{tan^2 30^\circ+sin^290^\circ+cot^260^\circ+sin^230^\circ cos^245^\circ}{sin60^\circ cos30^\circ-cos60^\circ sin30^\circ}\)
If \(sin\left(\frac{2A+B}{2}\right) = cos\left(\frac{2A-B}{2}\right)=\frac{\sqrt{3}}{2},0^{\circ}<\frac{2A+B}{2}<90^{\circ}\) then find the value of sin[3(A - B)].
If sin θ - cos θ = \(4 \over5\), then find the value of sin θ + cos θ.
The value of θ, when √3 cos θ + sin θ = 1 (1 ≤ θ ≤ 90°), is:
If 3cosθ = 4sinθ, then what is the value of tan (45° + θ)?
If sin 2x tan x + cos 2 x cot x - sin 2x = 1 + tan x + cot x, x ϵ (0, π), then x
If \(\rm u=\sin^{-1}\frac{x+2y}{x^8+y^8}\) , then, what is the value \(\rm x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}\) ?
What is cos 36° − cos 72° equal to ?
What is the value of \(\cos \left(\frac{5 \pi}{17}\right)+\cos \left(\frac{7 \pi}{17}\right)+2 \cos \left(\frac{11 \pi}{17}\right) \cos \left(\frac{\pi}{17}\right)\) ?