sin^(2)theta+[(1)/(1+tan^(2)theta)]

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

Complete the following activity by filling the boxes. sin^(2) theta+cos^(2) =square ….(Identity) Dividing each term by sin^(2) theta , we get (sin^(2)theta)/(sin^(2) theta)+(cos^(2)theta)/(sin^(2)theta)=(square)/(sin^(2)theta) :.1+square=square

tan^(2)theta-sin^(2)theta-tan^(2)theta sin^(2)theta

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)

Solve: 2sin^(2)theta+sin^(2)2theta=2

Solve: 2sin^(2)theta+sin^(2)2theta=2

Solve: 2sin^(2)theta+sin^(2)2theta=2

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)

(1)/(sin^(2)theta)-(cos^(2)theta)/(sin^(2) theta) =___.

Prove that sin ^(2) theta + sin ^(2) (theta+(pi)/(3))+ sin ^(2) (theta-(pi)/(3))=(3)/(2)