[" 17.(i) "sin^(6)theta+cos^(6)theta=1-3sin^(2)theta cos^(2)theta],[" "(ii) "sin^(2)theta+cos^(4)theta=cos^(2)theta+sin^(4)theta],[" (iii) "cosec^(4)theta-cosec^(2)theta=cot^(4)theta+cot^(2)theta]

Prove each of the following identities : (i) sin^(6) theta + cos^(6)theta = 1- 3 sin^(2) theta cos^(2) theta (ii) sin^(2)theta + cos^(4) theta = cos^(2) theta + sin^(4) theta (iii) "cosec"^(4) theta - "cosec"^(2) theta = cot^(4) theta + cot^(2) theta

2(sin^(6) theta + cos^(6)theta) - 3(sin^(4)theta + cos^(4)theta)+ 1 = 0

|(4 sin^(2)theta, cos^(2) theta),(3 sec^(2)theta,cosec^(2)theta)|=

Prove each of the following identities : '(i) sin^(2)theta + cos^(4) theta = cos^(2) theta + sin^(4) theta (ii) "cosec"^(4) theta - "cosec"^(2) theta = cot^(4) theta + cot^(2) theta

The value of (2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta))/(cos^(4)theta-sin^(4)theta-2cos^(2)theta) is :

Prove the following identities: 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1(sin^(8)theta-cos^(8)theta)=(sin^(2)theta-cos^(2)theta)(1-2sin^(2)theta cos^(2)theta)

Find the value of 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)

sin^(4) theta + 2 sin^(2) theta (1-(1)/("cosec"^(2) theta ) )+ cos^(4) theta =