Rohit and Karan can complete a work alone in 64 days and

If A lies in the first quadrant and 6 tan A = 5, then the value of 8 sin A−4 cos A / cos A+2 sin A is :

if x sin 45 ˚  = y cosec 30 ˚   then find the value of 

If sin θ and cos θ are the root of standard Quadratic Equation , then which of the following is true ?

What is the value of sin(B – C) cos(A – D) + sin(A – B) cos(C – D) + sin(C – A) cos(B – D)?

If cos2B = sin(1.5B + 27 ^o), then find the measure of 'B'. 

If cos θ + sin θ = m, sec θ + cosec θ = n then n(m ² – 1) is equal to?

If 30sin⁴theta; + 45 cos⁴theta; = 18 . Then find the value of 216 cosec⁶theta; + 64 sec⁶

What is the simplified value of the given expression?

4(sin² 20° + sin² 70°) + 2sin 30° - (2sec 60° + cot 45°)