The sum of LCM and HCF of two numbers is 854. If the LCM

If A and B are complementary angles, then the value of-

sin A cos B + cos A sin B – tan A tan B + sec ²

If √3 tan 2θ – 3 = 0, then find the value of tanθ secθ – cosθ where 0 < θ < 90°

If 1 + sin 2θ = p² and sin³ θ + cos³ θ = q 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)?

Find the value of the given trigonometric expression:

(sin 22°cos 68° + cos²22°) × sin 30° + (cos 60°tan 45°) × sec 60°

If tanθ – cotθ = a and cosθ + sinθ = b, then (b² –1)(a² + 4) = ?

If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan³⁰ θ + cot ²⁹ θ.

What is the simplified value of the given expression?

2(sin² 15° + sin² 75°) + 4sin 30° - (2sec 60° + cot 45°)

which of the following is equal to [(tan θ +secθ -1)/ (tanθ-secθ +1)]  

[(sinx – 2sin ³ x)/(2cos ³ x – cosx)] ²  + 1, x ≠45 ^o , is equal to: