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Find the values of the trigonometric fu...

Find the values of the trigonometric function sin `(-(11pi)/3)`

A

`0`

B

`1`

C

` sqrt1`

D

` sqrt3 /2`

Text Solution

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The correct Answer is:
D
`sin(-(11 pi)/3)`
`sin(-(4 pi - pi/3))`
`sin(- (-pi/3))`
`sin(pi/3)`
`= sqrt3 /2`
Answer
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NCERT ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that:(sinx+sin3x)/(cosx+cos3x)=tan2x

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  2. Find the values of the trigonometric function tan (19pi)/3

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  3. Find the values of the trigonometric function sin (-(11pi)/3)

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  4. Find the value of other five trigonometric function cosx=-1/2, x lies...

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  5. Find the value of other five trigonometric function sinx=3/5, x lies ...

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  6. Find the value of other five trigonometric function cotx=3/4, x lies ...

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  7. Find the value of other five trigonometric function secx=(13)/5, x li...

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  8. Find the value of other five trigonometric function tanx=-5/(12), x l...

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  9. Find the values of the trigonometric function sin 765^(@)

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  10. Find the values of the trigonometric function c o s e c(-1410^@).

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  11. cot^2pi/6+cose c(5pi)/6+3tan^2pi/6=6

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  12. 2sin^2(pi/6 )+c o s e c^2((7pi)/6)cos^2(pi/3)=3/2

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  13. sin^2pi/6+cos^2pi/3-tan^2pi/4=-1/2

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  14. Prove that:(tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2

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  15. Prove that:cos(pi/4-x)cos(pi/4-y)-sin(pi/4-x)sin(pi/4-y)=sin(x+y)

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  16. Find the value of : (i) sin75^o (ii) tan15^o

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  17. 2sin^2(3pi)/4+2cos^2pi/4+2sec^2pi/3=10

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  18. Prove that: cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x)]=1

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  19. Prove that: (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2+x))=cot^2x

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  20. Find sinx/2,cosx/2 and tanx/2of the following : sin x =1/4,x in quadr...

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