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Prove : cot^(2) theta-tan^(2)theta=cosec...

Prove `: cot^(2) theta-tan^(2)theta=cosec^(2)theta-sec^(2)theta`

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Proof: `LHS =cot^(2) theta-tan^(2)theta`
`=(cosec^(2)theta-1)-(sec^(2)theta-1)…{:[(cosec^(2)theta=1+cot^(2)theta),(sec^(2)theta=1+tan^(2)theta)]:}`
`=cosec^(2) theta-1-sec^(2)theta+1`
`=cosec^(2) theta-sec^(2) theta`
`=RHS`
`:.cot^(2) theta-tan^(2)theta=cosec^(2)theta-sec^(2)theta`.
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-TRIGONOMETRY-ASSIGNMENT
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  2. Proove: (sin^(2)theta)/(cos theta)+cos theta=sec theta

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

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  4. Complete the following activity by filling the boxes sin^(2) theta+c...

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  6. Prove : cot^(2) theta-tan^(2)theta=cosec^(2)theta-sec^(2)theta

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  7. If tan theta=1, then (sin theta+cos theta)/(sec theta+cosec theta)=

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  8. Prove :(sec theta-cos theta)(cot theta+tan theta)=tan .sec theta

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

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

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  11. When observer at a distance of 12m from a tree looks at the top of the...

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  13. If 1/(sin^(2)theta)-1/(cos^(2) theta)-1/(tan^(2)theta)-1/(cot^(2)theta...

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

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  16. Prove: sec^4A(1-sin^4A)-2tan^2A=1

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