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" The equation,"sin^(2)theta-(4)/(sin^(3...

" The equation,"sin^(2)theta-(4)/(sin^(3)theta-1)=1-(4)/(sin^(3)theta-1)" has: "

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Find number of solutions of equation sin^(2) theta- 4/(sin^(3) theta-1)=1- 4/(sin^(3) theta-1), theta in [0, 6pi] .

Find number of solutions of equation sin^(2) theta- 4/(sin^(3) theta-1)=1- 4/(sin^(3) theta-1), theta in [0, 6pi] .

Find number of solutions of equation sin^(2) theta- 4/(sin^(3) theta-1)=1- 4/(sin^(3) theta-1), theta in [0, 6pi] .

sin^(2)theta+(1)/(2)sin^(4)theta+(1)/(3)sin^(6)theta+....=

sin2theta+(1)/(3)sin^(3)2theta+(1)/(5)sin^(5)2theta+....=

sin2theta+(1)/(3)sin^(3)2theta+(1)/(5)sin^(5)2theta+....=

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

Prove that sin theta sin(60^(@)-theta) sin(60^(@)+theta)=1/4 sin3theta .