" (i) "sin^(2)theta+cos^(2)theta=1

If "cosec" theta = sqrt(5) , find the value of (i) 2-sin^(2)theta - cos^(2)theta (ii) 2 + (1)/(sin^(2)theta) - (cos^(2)theta)/(sin^(2)theta)

If sqrt(3) tantheta=3sintheta, " prove that " (sin^(2)theta-cos^(2)theta)=(1)/(3).

If sqrt(3) tantheta=3sintheta, " prove that " (sin^(2)theta-cos^(2)theta)=(1)/(3).

Prove that: (i) sec^(4)A-sec^(2)A="tan"^(4)A+"tan"^(2)A (ii) "sin"^(8)theta-cos^(8)theta=("sin"^(2)theta-cos^(2)theta)(1-2"sin"^(2)thetacos^(2)theta) .

Verify : sin^(2)theta+cos^(2)theta=1" if "theta=30^(@),

Prove that sin^(2) theta + cos^(2) theta =1

Prove that sin^(2) theta + cos^(2) theta =1

Prove sin^(2)theta+cos^(2)theta=1

Prove the following identity: ((1)/(sec^(2)theta-cos^(2)theta)+(1)/(cos ec^(2)theta-sin^(2)theta))sin^(2)theta cos^(2)theta=(1-sin^(2)theta cos^(2)theta)/(2+sin^(2)cos^(2)theta)

Write the value of sin^(2)theta cos^(2)theta(1+tan^(2)theta)(1+cot^(2)theta).