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Proove: (sin^(2)theta)/(cos theta)+cos t...

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

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Proof:
LHS`=(sin^(2)theta)/(cos theta)+cos theta`
`=(sin^(2) theta+cos^(2)theta)/(cos theta)`
`=1/(cos theta)` ………. `(sin^(2) theta+cos^(2) theta=1)`
`=sec theta` ……….`[1/(cos theta)=sec theta]`
`=` RHS `:.` LHS `=` RHS
`:.(sin^(2)theta)/(cos theta)+cos theta=sec theta`.
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-TRIGONOMETRY-ASSIGNMENT
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  5. Complete the following activity by filling the boxes sin^(2) theta+c...

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

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

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

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

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

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  13. From the top of a lighthouse, an observer looking at a boat makes an ...

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

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

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  16. If sqrt(3) tan theta=3 sin theta and theta!=0 then find the value of s...

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

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  18. Prove : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0.

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