Question

Solve for x
2 cosec^2 30° + x sin^2 60°- 3/4 tan^2 30°= 10​

Answer 1

Answer:

”Hey mate".........

Here's ur answer :

We have,

cosec30° = 2 , sin60° = √3/2,

tan30° = 1/√3

Putting this values in given eqn,

2cosec^2 30° + xsin^2 60° - 3/4tan^2 30° = 10

»» 2(cosec30°)^2 + x(sin60°)^2 - 3/4(tan30°)^2 = 10

»» 2(2)^2 + x(√3/2)^2 - 3/4(1/√3)^2 = 10

»» 2*(4) + x*(3/4) - 3/4*(1/3) = 10

»» 8 + 3x/4 - 1/4 = 10

»» 3x/4 + 31/4 = 10

»» 3x/4 = 10 - 31/4

»» 3x/4 = 9/4

»» x = (9/4)*(4/3)

»» x = 3 ,,

Hence, X = 3 ,,

✨❤«Hope it helps»❤✨