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Calculate the value of (i) sin 15^(@...

Calculate the value of
`(i) sin 15^(@) " "(ii) cos 15^(@)" "(iii) tan 15^(@)`
`(iv) sin 75^(@) " "(v) cos 75^(@) " "(vi) tan 75^(@)`

A

`(2-sqrt(3))/(2)`

B

`(sqrt(3)+1)/(2sqrt(2))`

C

`(sqrt(3)-1)/(-2sqrt(2))`

D

`(sqrt(3)-1)/(2sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Assignment section-A (Objective Type Questions (One option is correct))
  1. If sintheta(1)sintheta(2)+sintheta(3), then cos theta(1)+cos theta(2)+...

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  2. The value of cos 10^@ - sin 10^@ is

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  3. Calculate the value of (i) sin 15^(@) " "(ii) cos 15^(@)" "(...

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  4. If tan theta=1/2 and tan phi =1/3, then the value of theta + phi is

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  5. cot(pi/4+theta)cot(pi/4-theta)"i s"

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  6. The value of sin50^(@) - sin70^(@)+sin10^(@) is equal to

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  7. The value of sin(45^(@)+theta) - cos(45^(@)-theta) is

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  8. If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha ...

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  9. The value of (1-tan^(2)15^(@))/(1+tan^(2)15^(@)) is

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  10. If (1+tantheta)(1+tanphi)=2, then theta + phi=

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  11. Find the value of cos 12^(@)+cos 84^(@)+cos 156^(@)+cos 132^(@)

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  12. The value of sin 50^(@) - sin70^(@) + sin 10^(@) is equal to

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  13. The value of sinpi/18+sinpi/9+sin(2pi)/9+sin(5pi)/18 is

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  14. The value of sin""(pi)/(10)sin""(13pi)/(10) is

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  15. In a triangleABC, if sinA - cosB = cos C, then the measured of angleB ...

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  16. The value of cos1^(@) cos 2^(@) ..............cos179^(@) is

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  17. 2cos(pi/13)cos(9pi/13)+cos(3pi/13)+cos(5pi/13)=0

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  18. If sintheta +costheta =1, then the value of sin2theta is equal to

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  19. If tan A=1/2 and tan B=1/3, then tan(A +B) is equal to

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  20. The minute hand of a watch is 3cm long. How far does its tip move in 2...

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