(cos A)/(1mp sin A)=tan(45^(@)+-(A)/(2))

Prove that (cos A )/( 1 - sin A ) = tan (45 ^(@) + (A)/(2)),

(cos A) / (1 + -sin A) = tan (45 ^ (@) + - (A) / (2))

sin (45 ^ (@) + A) sin (45 ^ (@) - A) = (1) / (2) cos2A

If x sin 45^(@) cos 45^(@) tan60^(@)=tan^(2)45^(@) -cos60^(@) , then determine the value of x.

The value of (sin 30^(@) - cos 60^(@) + tan 45^(@))/(cos 90^(@) + tan 45^(@) + sin 90^(@)) is

Evaluate : (i) sin^(2)30^(@)-2cos^(3)60^(@)+3tan^(4)45^(@) (ii) (cos0^(@)+sin45^(@)+sin30^(@))(sin90^(@)-cos45^(@)+cos60^(@))

Evaluate : (i) cos^(2) 25^(@) - sin^(2)65^(@) - tan^(2)45^(@) (ii) ((sin 77)/(cos 13))^(2) + ((cos 77)/(sin 13))^(2) - 2 cos^(2) 45^(@)

Prove that : (tan A + (1)/ (cos A))^(2) + (tan A - (1)/ (cos A))^(2) = 2 ((1 + sin^(2) A)/ (1 - sin^(2) A))