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The general solution of cosxcos6x=-1 is ...

The general solution of `cosxcos6x=-1` is (a) `x=(2n+1)pi,n in Z` (b) `x=2npi,n in Z` (c) `x=npi,n in Z` (d) none of these

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To solve the equation \( \cos x \cos 6x = -1 \), we will follow these steps: ### Step 1: Analyze the equation The equation given is: \[ \cos x \cos 6x = -1 \] For the product of two cosines to equal -1, one of the cosines must be -1 and the other must be 1. ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If x=secvarphi-tanvarphia n dy=cos e cvarphi+cotvarphi, then x=(y+1)/(...

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  2. Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4a n d10.

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  3. The general solution of cosxcos6x=-1 is (a) x=(2n+1)pi,n in Z (b) x=...

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  4. In an acute angled triangle A B C , a semicircle with radius ra is con...

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  5. If f(x)=sin^6x+cos^6x , then range of f(x) is

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  6. Which of the following number(s) is/are rational? (a)sin15^0 (b) co...

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  7. The number of solutions of sum(r=1)^5cosrx=5 in the interval [0,2pi] i...

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  8. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

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  9. Let I be the incetre of ΔABC having inradius r. Al, BI and Ci intersec...

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  10. Which of the following statements are always correct (where Q denotes ...

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  11. The greatest value of sin^4theta+cos^4thetai s 1/2 (b) 1 (c) 2 (d...

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  12. In A B C , the bisector of the angle A meets the side BC at D andthe ...

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  13. Let theta in [0,4pi] satisfy the equation (sintheta+2)(sintheta+3)(sin...

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  14. Prove that: (sin(B-C))/(cosBcosC)+(sin(C-A))/(cosCcosA)+(sin(A-B))/(co...

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  15. Given a right triangle with /A =90^@. Let M be the mid-point of BC. If...

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  16. If f(x)=cos^2theta+sec^2theta, then f(x)<1 (b) f(x)=1 2>f(x)>1 (d)...

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  17. If sinalphasinbeta-cosalphacosbeta+1=0, then prove that 1+cotalphatanb...

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  18. The number of values of x in the in interval [0,5pi] satisfying the eq...

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  19. The maximum value of the expression |sqrt(sin^2x+2a^2)-sqrt(2a^2-1-...

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  20. In A B C , the three bisectors of the angle A, B and C are extended t...

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