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If 3tan(theta-15^0)=tan(theta+15^0), the...

If `3tan(theta-15^0)=tan(theta+15^0),` then `theta` is equal to `n in Z)` n`pi+pi/4` (b) `npi+pi/8` `npi+pi/3` (d) none of these

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`(3pi)/(4)`

D

`(pi)/(6)`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. Let 0lt x lepi//4, (sec 2x-tan2x) equals

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  2. Prove that ((cos A+cos B)/(sinA-sinB))^(n)+((sinA+sinB)/(cos A-cosB))^...

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  3. If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) ...

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  4. If (cos theta)/(a)=(sin theta)/(b), then (a)/(sec2theta)+(b)/(cosec2th...

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  5. If k(1)=tan 27 theta-tan theta and k(2)=(sin theta)/(cos 3 theta)+(sin...

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  6. Find the number of integral values of k for which the equation 7 cos x...

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  7. If A=sin^(2)theta+cos^(4)theta, then find all real values of theta.

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  8. The minimum value of f(x)-sin^(4)x+cos^(4)x,0lexle(pi)/(2) is

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  9. The value of sin\ pi/16 sin\ (3pi)/16 sin\ (5pi)/16 sin\ (7pi)/16 is

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  10. If A+B+C=pi then sin2A+sin2B+sin2C=

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  11. The expression tan^2alpha+cot^2alpha is

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  12. Given alpha+beta+gamma=pi, prove that sin^2alpha+sin^2beta-sin^2gamma=...

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  13. If tan((alphapi)/(4))=cot((betapi)/(4)), then

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  14. The roots of the equation 4x^(2)-2sqrt(5)x+1=0 are

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  15. The radius of the circle whose are of length 15\ pi cm makes an angle ...

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  16. If (cosA)/(cosB)=n and (sinA)/(sinB)=m,then (m^(2)-n^(2))sin^(2)B=

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  17. If tantheta + tan(theta + pi/3) + tan(theta-pi/3)= Ktan3theta, then K ...

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  18. If cos(theta + phi) = m cos (theta - phi), then tan theta is equal to ...

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  19. alpha & beta are solutions of a cos theta+b sin theta=c(cosalpha != ...

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  20. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...

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