If `p(x)=sinx(sin^3x+3)+cosx(cos^3x+4)+(1/2)sin^2 2x+5,` then find the range of `p(x)dot`

(sinx+sin3x)/(cosx+cos3x) = tan2x

(sin^(3)x)/(1 + cosx) + (cos^(3)x)/(1 - sinx) =

If x=(sin^3P)/cos^2P,y=cos^3P/sin^2P" and " sinP+cosP=1/2 then find the value of x + y.

int(sin^3x+sin^5x)/(cos^2x+cos^4x)dx

(sinx-sin3x)/(sin^(2)x-cos^(2)x) = 2sinx

sin3x+sin2x-sinx=4sinxcos(x/2)cos(3x/2)

Evaluate : ( sin^3x + Cos^3x ) / ( sin^2x - cos^2x )

Let f(x)= |{:(cosx,sinx,cosx),(cos2x,sin2x,2cos2x),(cos3x,sin3x,3cos3x):}| then find the value of f'((pi)/(2)) .

If p(x)=3(sin^(4)x+cos^(4)x+1)-2(sin^(6)x+cos^(6)x) then the value of P((pi)/(5)) is equal

" Let " =|{:(cos x,,sin x,,cosx),( cos 2x,,sin 2x,,2cos 2x),(cos 3x,,sin 3x,,3cos 3x):}| then find the values of f(0) and f' (pi//2) .