The value of θ, when √3 cos θ + sin θ = 1 (1 ≤ θ ≤ 90°), is:
90°
The value of θ is 90°, which satisfies the given trigonometric equation.
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)].
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:
Find the value of \(\frac{\cos41}{\sin49} + \frac{\sin51}{\cos39}\)
If 1/(1 - sin θ) + 1/(1 + sin θ) = 4 sec θ, (0 < θ < 90°), then the value of (cot θ + cosec θ) is:
If sin θ - cos θ = \(4 \over5\), then find the value of sin θ + cos θ.
If \(\tan A=\dfrac{1}{7}\) , then what is cos 2A equal to?
What is tan 2A equal to?
What is the value of tan 18°?
What is the period of the function f(x) = ln(2 + sin 2x)?
If tan (45° + θ) = 1 + sin 2θ, where \(-\frac{\pi}{4}< θ <\frac{\pi}{4},\) then what is the value of cos 2θ?