Question

Solve the equation √3sintheta -Costheta=√2

Answer 1

Answer:

Step-by-step explanation:

$\sqrt3 sin A - cosA=\sqrt2$

$[\sqrt3 sinA - cosA]^{2} =[\sqrt2]^{2}$

$3sin^{2} A + cos^{2} A -\sqrt3sinAcosA = 2$

$3 -2 = \sqrt3sinAcosA$    

$1^{2} =[\sqrt3 sinAcosA]^{2}$

$\frac{1}{3} = sinA cosA$