Question

If sec 0 - tan 0 = 4, prove that cos 0 = 8/17if sec theta minus 10 theta equals to 4 prove that cos theta equals to 8 by 17 ​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Given:sec theta - tan theta = 4

But,sec theta = 1/cos theta

Then,1/cos theta - tan theta =4

1/cos theta-4=tan theta

1-4cos theta=cos theta × tan theta

1-4cos theta=cos theta×sin theta/cos theta

1-4cos theta=sin theta

(Squaring both sides)

1+16cos square theta-8cos theta=sin square theta

Cos square theta +sin square theta +16 cos square theta-8cos theta =sin square theta

17 cos square theta-8cos theta=0

Cos theta(17 cos theta -8)=0

17 cos theta =8

Cos theta=8/17