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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-INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS-Introduction To Trigonometry And Its Applications
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  2. if sintheta-costheta=0, then the value of (sin^4theta+cos^4theta)

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

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  4. A pole 6 m high casts a shadow 2sqrt 3 m long on the ground, then find...

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  5. value of (tan47^(@))/(cot 43^(@))=

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  6. The value of the expression (cos^(2)23^(@)-sin^(2)67^(@)) is

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  7. The value of the expression (sin80^(@)-cos80^(@)) is negative.

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  8. sqrt((1-cos^(2)theta)sec^(2)theta)=tan theta

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  9. If cosA+cos^2A=1 , then sin^2A+sin^4A= -1 (b) 0 (c) 1 (d) None of ...

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  10. (tantheta+2)(2 tantheta+1)= ?

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  11. If the length of the shadow of a tower is increasing, then the angle o...

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  12. If a man standing on a platform 3 m above the surface of a lake observ...

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  13. The value of 2sintheta can be a+1/a, where a is a positive number and ...

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  14. costheta=(a^(2)+b^(2))/(2ab), where a and b are two distinct numbers s...

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  15. The angle of elevation theta of the top of a tower is 30^(@). If the h...

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  16. If the height of a tower and the distance of the point of observation ...

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  17. Prove that (sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec...

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  18. (tanA)/(1+secA) - (tanA)/(1-secA) = 2cosecA

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  19. If tan A=3/4, then sinAcosA =.

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  20. (sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

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