Question

Pcos (90-theta)*tan (90-theta) =sin 90-theta find value of p

Answer 1

p=1

Step-by-step explanation:

Answer is in the pic.

Hope it will help you!

Answer 2

The value of P is equal to one(1).

Step-by-step explanation:

We have,

$P\cos (90-\theta).\tan (90-\theta) =\sin (90-\theta)$

To find, the value of P = ?

∴ $P\cos (90-\theta).\tan (90-\theta) =\sin (90-\theta)$

Using the trigonometric identity,

$\cos (90-\theta)=\sin \theta, \tan (90-\theta)=\cot \theta$and $\sin (90-\theta)=\cos \theta$

⇒ $P\sin \theta.\cot \theta =\cos \theta$

⇒ $P\sin \theta.\dfrac{\cos \theta}{\sin \theta} =\cos \theta$

⇒ $P\cos \theta=\cos \theta$

⇒ P = 1

Hence, the value of P is equal to one(1).