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Find the number of integral values of k ...

Find the number of integral values of k for which the equation `7 cos x+5 sin x=2k+1` has at least one solution.

A

4

B

8

C

10

D

12

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. cos^(4)theta-sin^(4)theta is equal to

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  19. If tanalpha=(m)/(m+1) and tanbeta=(1)/(2m+1), then alpha+beta is equa...

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  20. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

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