If tan A = $$\frac67$$​. find the value of $$\frac{7\sin A + 2\cos A}{7\sin A - 2\cos A}$$​

If tanθ + cotθ = 4, then sec²θ × cosec² θ is equal to:

If tan A = $$\frac67$$​. find the value of $$\frac{7\sin A + 2\cos A}{7\sin A - 2\cos A}$$​

A boy standing 12 m away from a flagpole observes the top of the pole at an angle of elevation of 60^∘. Find the height of the flagpole.
Note: Consider the height of the boy as 0 m .
(Use √3≈2 )

If cosec A = $$\frac 54$$​, then the value of sin2A + 2cos2A is:

Expression $$\sqrt{\frac{1+\sin\theta}{1-\sin\theta}}$$​ is equal to:

Simplify:
$$\frac{1 - \sec x}{\cosec x \cdot \cot x}$$​

If tan θ = $$\frac 34$$​ and θ is an acute angle, find the value of cosecθ.

Simplify: cosecθ(1 – cosθ)(cosecθ + cotθ)

If cot ⁡A + cos ⁡A = p, cot ⁡A - cos ⁡A = q, then what is the value of p²- q²?​​

What is the value of sin 20° cos 10° + cos 20° sin 10°?