Question #75f4f

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Answer 1 · 2016-10-31T03:10:54

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$\frac{sin (s + t)}{cos s cos t} = tan s + tan t$ $(sin(s+t))/(cos s cos t)=tan s+ tan t$

Left Side: $= \frac{sin (s + t)}{cos s cos t}$ $=(sin(s+t))/(cos s cos t)$

$= \frac{sin s cos t + cos s sin t}{cos s cos t}$ $=(sin s cos t+cos s sin t)/(cos s cos t)$

$=(sin s cancel cos t)/( cos s cancel cos t) + (cancel cos s sin t)/(cancel cos s cos t)$

$=sin s / cos s + sin t/ cost$

$=tan s + tan t$

$=$ Right Side