sin2thetasec2thetacos2thetaSolutionsin2sec2cos2 sin2sec2cos2

-sin^2(-theta)+sec^2(-theta)-cos^2(-theta)

Solution

-sin²(-)+sec²(-)-cos²(-)

=-(-sin)²+(sec²)-(cos²)

=-(sin²)+(sec²)-(cos²)

=-(sin²)-(cos²)+(sec²)

=-(sin²+cos²)+(sec²)

=-1+(sec²)................................................ since sin²+cos²=1

=tan²........................................................since sec²-tan²=1

therefore -sin²(-)+sec²(-)-cos²(-)=tan²