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Find the value of sin (45^@+theta)-cos (...

Find the value of `sin (45^@+theta)-cos (45^@-theta)`

A

`2costheta`

B

0

C

`2sin theta`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
`sin(45^(@)+theta)-cos(45^(@)-theta) = cos[90^(@)-(45^(@)+theta)]-cos(45^(@)-theta)` `[therefore cos(90^(@)-theta)=sintheta]`
`=cos(45^(@)-theta)-cos(45^(@)-theta)`
=0
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NCERT EXEMPLAR ENGLISH-INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS-LONG ANSWER TYPES QUESTIONS
  1. Find the value of sin (45^@+theta)-cos (45^@-theta)

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  2. If cosectheta + cottheta=p, then prove that the cos theta=(p^2-1)/(p^2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. about to only mathematics

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

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

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

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