Question

Solve •3cosec^2A=2secA.

Answer 1

here is the solution

identities used cosec^2A= 1/sin^2A

secA=1/cosA

sin^2A= 1-cos^2A

3/sin^2A=2/cosA

3cosA=2(sin^2A)

3cosA= 2(1-cos^2A)

3cosA=2-2cos^2A

let cosA=x

3x=2-2x^2

2x^2 +3x-2=0

2x^2+4x-x-2=0

2x(x+2)-1(x+2)=0

(2x-1)(x+2)=0

x=1/2  0r x= -2(rejected as cosA cant be lesser than -1)

there fore

cosA=1/2

or A=60 degress or pi/3

kindly mark as brainliest if it helps