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log tan 1^@+log tan2^@+log tan3^@+...log...

`log tan 1^@+log tan2^@+log tan3^@+...log tan89^@`=

A

1

B

`1//sqrt2`

C

0

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-TRIGONOMETRY-EXERCISE(LEVEL - 1)
  1. The least value of 2sin^2theta+3cos^2theta is 1 (b) 2 (c) 3 (d) ...

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  2. The value of tan(180+theta).tan (90-theta) is :

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  3. log tan 1^@+log tan2^@+log tan3^@+...log tan89^@=

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  4. If we convert sin(-566^(@)) to same trigonometrical ratio of a positiv...

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  5. From the Masthead of a ship, the angle of Depression of boat is 60^@, ...

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  6. A portion of a 30 m long tree is broken by tornado and the top struck ...

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  7. Two posts are 25 m and 15 m high and the line joining their tips makes...

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  8. The angle of elevation of the top of a tower at a point G on the groun...

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  9. If x=sec theta+tan theta, y = sec theta-tan theta, then the relation b...

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  10. The value of theta for which sqrt3 cos theta-sin theta=1 is :

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  11. If tan theta =(4)/(3), then the value of sqrt((1+cos theta)/(1-cos the...

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  12. If the arcs of the same length in two circles subtend angles of 60^(@)...

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  13. In the third quadrant, the values of sin theta and cos theta are :

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  14. The value of (cot 40^(@))/(tan50^(@))-(1)/(2)(cos35^(@))/(sin55^(@)) i...

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  15. The value of theta(0le theta le pi//2) stisfying the equation sin^(2)t...

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  16. If cos theta=(4)/(5) and 0lt theta lt 90^(@), then the value of (3cos ...

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  17. Maximum value of (cos theta-sin theta) is :

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  18. The value of sin105^(@) is :

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  19. If tan theta=t, then sin 2theta is equal to :

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  20. If tan theta=sqrt2, then the value of theta is :

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