Question

sec+tan=4 find sin=?​

Answer 1

sec∅+tan∅=4

sec∅-tan∅=1/4

so 2sec∅=4+1/4=17/4

sec∅=17/8

cos∅=8/17

sin∅=15/17

Answer 2

Sec+tan=4

As we know.

Sec2=1+tan2

Sec2-tan2=1

(a2+b2) =(a+b) (a-b)

.

So

(Sec + tan)(Sec - tan) =1

Given sec +tan=4

Sec-tan=1/4........ Eq 1

Now compare and plot on a right angle triangle so u get ur answer..

You get sin 15/17