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The number of all the possible triplets ...

The number of all the possible triplets `(a_1,a_2,a_3)` such that `a_1+a_2cos(2x)+a_3sin^2(x)=0` for all `x` is (a) 0 (b) 1 (c) 3 (d) infinite

A

zero

B

1

C

2

D

infinite

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
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  10. Show that the equation , sec theta + "cosec" theta = c has two roots...

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  11. If theta(1), theta(2), theta(3), theta(4) are roots of the equation "s...

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  12. If sin(pi cos theta) = cos(pi sin theta), then the value of cos(the...

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  13. If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi/...

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  14. The general solution of "tan" ((pi)/(2)"sin" theta) ="cot"((pi)/(2)"co...

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