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If 5tantheta=4, then (5sintheta-3costhet...

If `5tantheta=4,` then `(5sintheta-3costheta)/(5sintheta+2costheta)` is equal to `0` (b) 1 (c) `1/6` (d) 6

A

0

B

1

C

`1/6`

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
`5tantheta=4ortantheta=4/5`
Now, `(5sintheta-3costheta)/(5sintheta+2costheta)=(5(sintheta)/costheta-3)/(5sintheta/tantheta+2)`
`=(5tantheta-3)/(5tantheta+2)`
`=(5xx4/5-3)/(5xx4/5+2)=1/6`
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CENGAGE-TRIGONOMETRIC FUNCTIONS -Exercise (Single)
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  2. If tan theta = - (4)/(3), then sin theta is

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  3. If sinx+cos e cx=2, then sin^n x+cos e c^n x is equal to 2 (b) 2^n ...

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

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  5. If cosectheta-cottheta=q, 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= 2...

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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 sec alphaa n dalpha are the roots of x^2-p x+q+0, then p^2=q(q-2) ...

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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=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

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

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

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  14. (1+tanalphatanbeta)^2+(tan"alpha"-tan"beta")^2= tan^2alphatan^2beta ...

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  15. about to only mathematics

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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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