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Assertion (A) : if 2sin^(2)((pi)/(2)co...

Assertion (A) : if
`2sin^(2)((pi)/(2)cos^(2)x)=1-cos(pisin2x)`,
`xne(2n+1)(pi)/(2),n` is a integer, then
`sin2x+cos2x=(1)/(5)`
Reason (R ) : `sin2x+cos2x=(2-(tanx-1)^(2))/(1+tan^(2)x)`.
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
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  7. If sqrt(3)costheta-sintheta is positive and thetain(-pi,pi) then the v...

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

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

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

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

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

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

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

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

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