Question #05ce8

Question

1076 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-29T00:05:18

$L H S = \frac{sin x + cos x}{sec x + csc x}$ $LHS=(sin x + cos x) / (sec x + csc x )$

$= \frac{sin x + cos x}{\frac{1}{cos x} + \frac{1}{sin x}}$ $=(sin x + cos x) / (1/cos x + 1/sinx )$

$= \frac{sin x + cos x}{\frac{sin x + cos x}{cos x sin x}}$ $=(sin x + cos x) / ((sinx+cosx)/(cos x sinx )$

$= \frac{sin x + cos x}{sin x + cos x} \cdot \frac{cos x sin x}{1}$ $=(sin x + cos x) / (sinx+cosx)*(cos x sinx )/1$

$= \frac{sin x}{sec x} = R H S$ $= sin x / sec x=RHS$

Verified

Answer 2 · 2017-03-29T00:07:34

$L H S = \frac{sin x + cos x}{sec x + csc x}$ $LHS=(sin x + cos x) / (sec x + csc x )$

$= \frac{sin x + cos x}{\frac{1}{cos x} + \frac{1}{sin x}}$ $=(sin x + cos x) / (1/cos x + 1/sinx )$

$= \frac{sin x + cos x}{\frac{sin x + cos x}{cos x sin x}}$ $=(sin x + cos x) / ((sinx+cosx)/(cos x sinx )$

$= \frac{sin x + cos x}{sin x + cos x} \cdot \frac{cos x sin x}{1}$ $=(sin x + cos x) / (sinx+cosx)*(cos x sinx )/1$

$= \frac{sin x}{sec x} = R H S$ $= sin x / sec x=RHS$

Verified