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Observe the following statements Asser...

Observe the following statements
Assertion (A) : The general solution for `costheta=(3)/(2)` is `theta=2npipmcos^(-1)(3//2)`
Reason (R ) : The general solution for `costheta=k` is `theta=2npipmalpha, n inz` where `'alpha'` is principal value, `alpha in[0,pi]` and `|k|le1`.
Then the true statement among the following is

A

A is true, R is false

B

A is false, R is true

C

A is true, R is true, R implies A

D

A is false, R is false

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise-II
  1. Match the trigonometric equations from List I to solutions in List II ...

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  2. For 0lexle2pi, Match the equations in List I to no. of solutions in Li...

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  3. Observe the following statements Assertion (A) : The general solutio...

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  4. If (1)/(6) sin x, cos x, tan x are in G.P. then x is equal to

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  5. When a is irrational, the number of solutions satisfying the equation ...

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  6. Assertion (A) : if 2sin^(2)((pi)/(2)cos^(2)x)=1-cos(pisin2x), xne(...

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  7. Tan ((pi)/(4)+theta).Tan((3pi)/(4)+theta)=

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  8. If sqrt(3)costheta-sintheta is positive and thetain(-pi,pi) then the v...

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  9. If in a triangle PQR , sin P, sin Q, sin R are in A.P., then

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  10. The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(...

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  11. If 0lexle2pi,0leyle2piandsinx+siny=2 then x+y =

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  12. If tan alpha = m//(m+1), tan beta =1//(2m + 1), then alpha + beta =

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  13. If log(2)sinx-log(2)cosx-log(2)(1-tan^(2)x)=-1 then x =

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  14. If theta(1) and theta(2) are two solutions of the equation a cos2theta...

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  15. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

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  16. The number of solutions of sin(e^(x))=x+(1)/(x) is

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  17. The maximum integral values of a for which the equation cos2x+asinx=2a...

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  18. The number of solutions of secxcos5x+1=0 in the interval [0,2pi] is

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  19. The values of 'theta' satisfying sin5theta=sin3theta-sintheta and 0l...

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  20. (x+1)/((x-1)^(2)(x-2))=

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