The value of `3(sin^4t+cos^4t-1)/(sin^6t+cos^6t-1)` is equal to __________

The value of 4 sin A cos ^3 A -4 cos sin^3 A is equal to

If cos x + cos^2 x=1 , then the value of sin ^4 x + sin ^6 x is equal to

Show That 2(sin^6x+cos^6x)-3(sin^4x+cos^4x)+1=0

The value of int_(0)^(2pi)[sin2x(1+cos3x)] dx, where [t] denotes

The value of (cos^4 1^@+cos^4 2^@+....+cos^4 179^@)-(sin^4 1^@+sin^4 2^@+.....+sin^4 179^@) equals

The value of (sin 1^(@) +sin 3^(@) + sin 5^(@) +sin 7^(@))/(cos 1^(@)*cos 2^(@)sin 4^(@)) is __________

The value of 3(cos theta-sin theta)^(4)+6(sin theta+cos theta)^(2)+4 sin^(6) theta is where theta in ((pi)/(4),(pi)/(2)) (a) 13-4cos^(4) theta (b) 13-4cos^(6) theta (c) 13-4cos^(6) theta+ 2 sin^(4) theta cos^(2) theta (d) 13-4cos^(4) theta+ 2 sin^(4) theta cos^(2) theta

Suppose o lt t lt (pi)/(2) and sin t + cos t =1/5 then tan "" t/2 is equal to

Prove that the segment of the normal to the curve x= 2a sin t + a sin t cos^2 t ; y = - a cos^3 t contained between the co-ordinate axes is equal to 2a.

The angle made by the tangent of the curve x=a(t+si n tcos t),y=a(1+sin t)^2 with the x-axis at any point on it is (A) 1/4(pi+2t) (B) (1-sin t)/(cos t) (C) 1/4(2t-pi) (D) (1+sin t)/(cos2t)