Question

Solve: sec theta +tan theta =√3

Answer 1

,JUST USE THE FORMULA SEC 2 THETA - TAN 2 THETA = 1

Answer 2

Step-by-step explanation:

1/cos theta+sintheta/costheta=✓3

1+sin theta=√3cos theta

squarring on both sides

1+sin^2theta+2sinthetha=3cos^2theta

adding cos^2thetha in both sides

1+sin^2thetha+cos^2thetha+sin^2thetha=4cos^2thetha

2+2sinthetha=4cos^2thetha

1+1sinthetha=2cos^2thetha

1+1sinthetha=2-2sin^2thetha

sintheta=1-2sin^2thetha

2sin^2thetha+sinthetha-1=0

this a quadratic equations in sin theta

solving we get

sinthetha=1/2 or-1

but -1 not satisfies

therefore thetha=30°

hopes it helps you