Question

root of sec square tita +cosec square tita = tan tita +cot tita prove

Answer 1

Heya friends.

from LHS

√sec²¢+cosec²¢

➡√1+tan²¢+1+cot²¢...{• ° •sec²¢=1+tan²¢

and cosec²¢=1+cot²¢}

√tan²¢+cot²¢+2...

now,

(tan¢+cot¢)² =tan²¢+cot²+2tan¢×cot¢

(tan¢+cot¢)²=tan²¢+cot²¢+2----1)

so, from 1) at the place of cot²¢+tan²¢+2 we can say that (cot¢+tan¢)²

now in question

=>√(tan¢+cot¢)²

=tan¢+cot¢ ..Rhs prooved here

Hope it helps you

@Rajukumar@@@☺☺