Home
Class 12
MATHS
If 2cos^2x+3sinx-3=0, 0lt=xlt=18 0^(@) t...

If `2cos^2x+3sinx-3=0, 0lt=xlt=18 0^(@)` then the value of x are

A

`30^(@),90^(@)150^(@)`

B

`60^(@),120^(@),180^(@)`

C

`0^(@),30^(@),150^(@)`

D

`45^(@),90^(@)135^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
We have , `2cos^(2)x+3sinx-3=0`
`rArr2-2sin^(2)x+3sinx-3=0`
`rArr2sin^(2)x-3sinx+1=0`
`rArr(2sinx-1)(sinx-1)=0`
`sinx-(1)/(2)orsinx=1`
`rArrx=30^(@),90^(@),150^(@)`
Promotional Banner

Similar Questions

Explore conceptually related problems

If 2cos^(2)x+3sin x-3=0,0<=x<=180^(@) then the value of x are

If 2cos^(2)x+3sinx-3=0,0lexle180^(@) , then x =

If sin x - cos x = 0, 0^(@) lt x lt 90^(@) then the value of ( sec x + cosec x)^(2) is:

If 7 sin ^(2) x + 3 cos ^(2) x =4, 0 lt x lt 90^(@), then what is the value of tan x ?

If cos^(2)x+sinx+1=0 , then the value of x lies in the interval

Solve : 2cos^(2)x+3sinx=0 .

If tan^(2)theta - 3sectheta + 3=0, 0^(@) lt theta lt 90^(@) , then the value of sintheta + cos theta is:

If (sin^(-1)x)^(2)-(cos^(-1)x)^(2)=a , 0 lt x lt 1 , a ne 0 , then the value of 2x^(2)-1 is

If tan x = (3)/( 4) , 0 lt x lt 90^(@) , then what is value of sin x cos x ?