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Which of the following functions has per...

Which of the following functions has period `2pi` ?

A

`y = sin( 2pi t + (pi)/(3)) + 2 sin (3pi t + (pi)/(4)) + sin 5 pit `

B

`y = sin "" (pi)/(3) t + sin "" (pi)/(4) t`

C

`y = sin t + cos 2 t`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-1
  1. The maximum value of [sin (x+(pi)/(6))+cos (x+(pi)/(6))] in the interv...

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  2. The expression (cos 6x+6cos 4x+15 cos 2x+10)/(cos 5x+5 cos 3x+10 co...

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  3. Which of the following functions has period 2pi ?

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  4. The value of cot 5^(@).cot 10^(@).cot 15^(@)……cot 85^(@) is

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  5. Write the value of tan((19pi)/(3))

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  6. (1+ sin A- cos A)/( 1+ sin A + cos A)=

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  7. Prove that: t a nA+tan(60^0+A)-t a n(60^0-A)=3t a n3A

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  8. If (sin (x+y))/( sin(x-y))=(a+b)/(a-b) , then (tan x)/( tan y) is equa...

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  9. If tan A=1/2 and tan B=1/3, then: A+B=

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  10. Find the value of sin((31pi)/(3)).

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  11. 1/4[sqrt(3)cos2 3^(@)-sin2 3^(@)]=

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  12. If tan ^2 theta =1-e ^(2), then sec theta + tan ^(3) theta cosec thet...

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  13. The value of sin 765^(@) is (1)/(sqrtn). Value of n is

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  14. cot(-15pi)/(4)

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  15. The ratio of the greatest value of 2-cos x+s in^2x to its least value ...

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  16. If sec theta=x+1/(4x), then tan theta +sec theta is equal to

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  17. If theta is an angle given by cos theta = (cos ^(2) alpha + cos ^(2) ...

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  18. If alpha and beta be between 0 and (pi)/(2)and if cos(alpha+beta)=(12)...

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  19. The value of (1+cos (pi/6))(1+cos(pi/3))(1+cos ((2pi)/3))(1+cos((7pi...

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  20. Period of (sin theta + sin 2 theta)/( cos theta + cos 2 theta) is

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