Question

If sec theta+tan theta=P,then cos theta

Answer 1

Answer:

Value of cos theta is -2p/1-p(square).

Step-by-step explanation:

we know a identity.,

(sec square theta - tan square theta) = 1.

(sec theta + tan theta)(sec theta - tan theta)= 1.

(p)( sec theta - tan theta) = 1.

(sec theta - tan theta) = 1/p ------(1)

(sec theta + tan theta) = p ------(2).

Doing (1)-(2),

sec theta - tan theta - sec theta - tan theta = 1/p-p.

-2 sec theta = 1-p(square)/p.

sec theta = 1-p(square)/-2p.

Now we know cos theta = 1/ sec theta.

so, cos theta = -2p/1-p(square).

Hence answer is -2p/1-p(square).