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The value of the expression cosec (75^(@...

The value of the expression cosec `(75^(@)+theta) - sec(15^@)-theta)-tan(55^(@)+theta) + cot(35^(@)-theta)` is

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Given expression `="cosec "(75^(@)+theta)-sec(15^(@)-theta)-tan(55^(@)+theta)+cot(35^(@)-theta)`
`="cosec "[90^(@)-(15^(@)-theta)]-sec(15^(@)-theta)-tan[90^(@)-(35^(@)-theta)]+cot(35^(@)-theta)` " " `[:'"cosec "theta=sec(90^(@)-theta)ect.]`
`=sec(15^(@)-theta)-sec(15^(@)-theta)-cot(35^(@)-theta)+cot(35^(@)-theta)=0`
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NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Problems From NCERT/exemplar
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  9. If 2sin^(2)theta-cos^(2)theta=2, then find the value of theta.

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  10. if tantheta+sectheta=l then prove that sectheta=(l^2+1)/(2l)

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  11. If asintheta+bcostheta=c then prove that acostheta-bsintheta=sqrt(a^2+...

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  13. Prove that : tantheta+tan(90^(@)-theta)=sectheta*sec(90^(@)-theta)

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