Cost of two types of pulses is Rs.16 and Rs, 21 per kg, respectively. If both the pulses are mixed together in the ratio 2:3, then what should be the price of mixed variety of pulses per kg? 

The minimum value of 12 sin θ + 5 cosθ is

What is the value of 1/(1+tan ²θ ) + 1 / (1+cot ² θ ) = ?

What is the value of cos [(180 – θ)/2] cos [(180 – 9θ)/2] + sin [(180 – 3θ)/2] sin [(180 – 13θ)/2]?

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

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

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

If (sinθ+cosθ)/(sinθ-cosθ) = 2, then the value of sin⁴ θ is