solve the equation
`tan^2theta +cot^2theta=2`

Solve tan 5theta=cot2theta .

The value of sec^(2)theta+cosec^(2)theta is equal to a) tan^(2)theta+cot^(2)theta b) sec^(2)thetacosec^(2)theta c) sec theta cosectheta d) sin^(2)theta cos^(2)theta

Solve the following equations 2 tan theta-cot theta=-1

Consider the equation tantheta+sectheta=sqrt3 prove that tan((pi/4)+(theta/2))=sqrt3

The value of theta lying between theta = 0 and theta = pi//2 and satisfying the equation |(1+sin^(2)theta,cos^(2)theta,4sin4theta),(sin^(2)theta,1+cos^(2)theta,4sin4theta),(sin^(2)theta,cos^(2)theta,1+4sin4theta)|=0 are a) 3pi//24 b) 5pi//24 c) 11pi//24 d) pi//24

Solve sin2theta+costheta=0

Consider the equation sintheta+sin3theta+sin5theta=0 prove that sin3theta(1+2cos2theta)=0

Suppose theta is an acute angle and tantheta+cot theta=2 solve the given equation.