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If sin theta+ cos theta = p and sec thet...

If `sin theta+ cos theta = p` and `sec theta + cosec theta = q`; show that `q(p^2-1) = 2p`

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To solve the problem, we need to show that \( q(p^2 - 1) = 2p \) given that \( \sin \theta + \cos \theta = p \) and \( \sec \theta + \csc \theta = q \). ### Step-by-Step Solution: 1. **Start with the given equations:** \[ \sin \theta + \cos \theta = p \tag{1} \] ...
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NCERT EXEMPLAR ENGLISH-INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS-LONG ANSWER TYPES QUESTIONS
  1. If cosectheta + cottheta=p, then prove that the cos theta=(p^2-1)/(p^2...

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  2. Prove that sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta.

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  3. The angle of elevation of the top of a tower from a certain point is...

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  4. If 1+sin^(2)theta = 3sinthetacostheta, then prove that tantheta=1 or 1...

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  5. If sintheta + 2 costheta=1,then prove that 2sintheta-costheta=2.

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  6. The angle of elevation of the top of a tower from two distinct points ...

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  7. The shadow of a tower standing on a level ground is found to be 40 m ...

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  8. A vertical tower Stands on a horizontal plane and is surmounted by a v...

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

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  10. If sin theta+ cos theta = p and sec theta + cosec theta = q; show that...

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  11. If a sintheta + bcos theta = C, then prove that a costheta -b sintheta...

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  12. Prove that (1+sectheta-tantheta)/(1+sectheta+tantheta) = (1-sintheta)/...

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  13. The angle of elevation of the top of a tower 30 m high from the foot ...

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  14. From the top of a tower h m high, angles of depression of two objects,...

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  15. about to only mathematics

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  16. The angle of elevation of the top of a vertical tower from a point on ...

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  17. If the angle of elevation of a cloud from a point h metres above a lak...

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  18. The lower window of a house is at a height of 2m above the ground and ...

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