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If sin theta=11/61, ffind the value of c...

If `sin theta=11/61`, ffind the value of `cos theta` using trigonometric identity.

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`sin theta=11/61`………(Given)
`sin^(2) theta+cos^(2) theta=1`………(Identity)
`:.(11/61)^(2)+cos^(2) theta=1`
`:.cos^(2) theta=1-(11/61)^(2)`
`:.cos^(2) theta=1-121/3721`
`:.cos^(2) theta=(3721-121)/3721`
`:.cos^(2) theta=3600/3721`
`:.cos theta=60/61` .............(Taking square roots of bothh the sides)
`cos theta=60/61`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-TRIGONOMETRY-ASSIGNMENT
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  2. If sec theta=25/7 then find the value of tan theta.

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  5. Proove: (sin^(2)theta)/(cos theta)+cos theta=sec theta

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  6. Prove that sqrt[[1-sintheta]/[1+sintheta]]=sectheta-tantheta

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  12. Prove cot theta+tan theta=(cosec theta)(sec theta) by completing the f...

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  13. Prove: (tan theta)/(sec theta-1)=(tan theta+sec theta+1)/(tan theta+se...

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  17. If sec theta=13/12, find the values of other trigonometric ratios.

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