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For all theta in [0,pi/2] show that cos(...

For all `theta` in `[0,pi/2]` show that `cos(sintheta)gtsin(costheta)`

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For 0ltxltpi/ 2, prove that cos(sinx)gtsin(cosx)

If cos theta -sin theta =sqrt(2) sin theta , show that, costheta+sintheta=sqrt(2) cos theta [0ltthetaltpi/2] .

For real values of theta, which of the following is/are always positive? "cos"(costheta) (b) cos(sintheta) sin(costheta) (d) sin(sintheta)

Prove that for all values of theta , |{:(sintheta,costheta,sin2theta),(sin(theta+(2pi)/(3)),cos(theta+(2pi)/(3)),sin(2theta+(4pi)/(3))),(sin(theta-(2pi)/(3)),cos(theta-(2pi)/(3)),sin(2theta-(4pi)/(3))):}|=0

Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

If 3sintheta+4costheta=5, then show that 4sintheta-3costheta=0.

If 3sintheta+5costheta=5, then show that 5sintheta-3costheta=+-3.

If costheta= x/sqrt(x^2+y^2) show that x sin theta = y cos theta .

Solve : 2cos^2theta+3sintheta=0

Solve the equation 2cos^2theta+3sintheta=0

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