if theata<=x<=pi and 81^(sin^x)+81^(cos^x)=30 , then x =?

Question

pi/6 or pi/3 or 5pi/6 or 2pi/3
HOW????????????

Answer 1

i presume you use the symbol ^ for multiplication....

if sinx=t then t+sqrt(1-t^2)=30/81=a


sqrt(1-t^2)=a-t

1-t^2=a^2+t^2-2at

solve for t now

Answer 2

What does your notation ^ stand for?
usually it is denoted for power