Question

sin^2+cos^2 theta = 1. can we take sin= 1-cos. because root of sin^2 theta +root cos^2 theta = root 1...and 1×1 is 1 so...root 1 is 1​

Answer 1

NO U CANNOT UNDER ROOTS DO NOT WORK LIKE THIS

HERE IS THE CONTRADICTION TO UR ANSWER

LET SAY

SIN THETA =1 - COS THETA( FOR EVERY CASE )

THEREFORE

SIN THETA +COS THETA =1

THEN BY IDENTITY WE KNOW

sin^2+cos^2 theta = 1

SUBSTITUTING VALUE OF 1

sin^2+cos^2 theta = sin theta +cos theta

which cannot be true for every case

THANK YOU