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If the angle A of a triangle ABC is give...

If the angle A of a triangle ABC is given by the equation 5 cos A + 3 = 0, then sin A and tan A are the roots of the equation

A

`15x^(2)-8x-16=0`

B

`15x^(2)-8sqrt(2)x+16=0`

C

`15x^(2)-8x+16=0`

D

`15x^(2)+8x-16=0`

Text Solution

Verified by Experts

The correct Answer is:
D
`5 cos A + 3 = 0`
`rArr cos A = -3//5`
`rArr sin A = 4//5`
`rArr tan A = -4//3`
Now equation whose roots are 4/5 and -4/3 is
`(x-4//5)(x + 4//3)=0`
or `15x^(2)+8x - 16=0`
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