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If tantheta =-4/3," then " costheta is...

If `tantheta =-4/3," then " costheta` is

A

`-3/5" but not "3/5`

B

`-3/5or3/5`

C

`3/5" but not "-3/5`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`tantheta=(-4)/3`
`rArr theta in2nd` quadrant or 4th eqyadrant
`rArr sintheta =pm4//5`
If `theta in 2nd` equadrant, `sintheta=4//5`
If `theta` in 4th quadrant, `sintheta=-4//5`
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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS -Exercises
  1. If tantheta =3," then " (sintheta-costheta)/(sintheta+costheta) is equ...

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  2. If tantheta =-4/3," then " costheta is

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  3. If cosx+secx=2," then "cos^nx+sec^nx is equal to

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  4. If tantheta+sintheta=mandtantheta-sintheta=n,then

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  5. If cosectheta+cottheta=m, then the value of cosectheta is

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  6. If (sinx)/a=(cosx)/b=(tanx)/c=k , then b c+1/(c k)+(a k)/(1+b k) is eq...

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  7. If sec^4theta+sec^2theta=10+tan^4theta+tan^2theta", then "sin^2theta=

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  8. If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1...

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  9. If secalpha and cosecalpha are the roots of the equation x^2-px+q=0, t...

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  10. Which of the following is not the quadratic equation whose roots are c...

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  11. If sinx+sin^2x=1n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 ...

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  12. 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta)...

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  13. If secx+sec^2x=1 then the value of tan^8x-tan^4x-2tan^2x+1 will be equ...

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  14. (1-tanalphatanbeta)^2+(tanalpha+tanbeta)^2=

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  15. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

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  16. A circle is drawn in a sector of a larger circle of radius r , as show...

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  17. A right triangle has perimeter of length 7 and hypotenuse of length 3....

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  18. Given that the side length of a rhombus is the geometric mean of the ...

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  19. Which of the following is correct?

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  20. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

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