If `sin^2(theta-alpha)c a salpha=cos^2(theta-alpha)sinalpha=msinalphacosalpha,` then prove that `|m|geq1/(sqrt(2))`

If sin^2(theta-alpha)c osalpha=cos^2(theta-alpha)sinalpha=msinalphacosalpha, then prove that |m|geq1/(sqrt(2))

If sin^(2)(theta-alpha)cas alpha=cos^(2)(theta-alpha)sin alpha=m sin alpha cos alpha then prove that |m|>=(1)/(sqrt(2))

If sin^(2)(theta-alpha)cos alpha=cos^(2)(theta-alpha)sin alpha=m sin alpha cos alpha, then

The value of 2sin^(2)theta+4cos(theta+alpha)sin alpha sin theta+cos2(alpha+theta)

If sinalpha+cos alpha=sqrt2 cos alpha then prove that tan 2alpha=1

If tan theta=(sin alpha-cos alpha)/(sin alpha+cos alpha), prove that 2cos^(2)theta=1+sin2 alpha

If sec(theta+alpha)+sec(theta-alpha)=2sec theta and cos alpha!=1 , prove that cos theta=+-sqrt"cos"(alpha)/2

Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+cos2(theta+alpha) The value of f(pi/3,pi/4) is

if tan theta=(sinalpha-cosalpha)/(sinalpha+cosalpha) show that, sin alpha+cosalpha=pmsqrt(2)cos theta

If (sin alpha-cosalpha)/(sin alpha+cosalpha)=tan theta , then prove that sin prop + cos prop = pm sqrt(2)cos theta.