How do you simplify $tan 30 + 2 (sin 45) (cos 60)$ $tan 30 + 2(sin 45)(cos 60)$ ?

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How do you simplify $tan 30 + 2 (sin 45) (cos 60)$ $tan 30 + 2(sin 45)(cos 60)$ ?

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Answer 1 · 2016-05-28T14:18:35

$\frac{\sqrt{2} + \sqrt{3}}{2}$ $(sqrt2 + sqrt3)/2$

Explanation:

S = tan 30 + 2sin(45)cos (60)
Trig table -->
$tan 30 = \frac{\sqrt{3}}{2}$ $tan 30 = sqrt3/2$
$2 sin (45) cos (60) = 2 (\frac{\sqrt{2}}{2}) (\frac{1}{2}) = \frac{\sqrt{2}}{2}$ $2sin (45)cos (60) = 2(sqrt2/2)(1/2) = sqrt2/2$
Therefor,
$S = \frac{\sqrt{3}}{2} + \frac{\sqrt{2}}{2} = \frac{\sqrt{2} + \sqrt{3}}{2}$ $S = sqrt3/2 + sqrt2/2 = (sqrt2 + sqrt3)/2$

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How do you simplify $tan 30 + 2 (sin 45) (cos 60)$ $tan 30 + 2(sin 45)(cos 60)$ ?

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Explanation:

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How do you simplify tan 30 + 2(sin 45)(cos 60)tan30+2(sin45)(cos60)tan 30 + 2(sin 45)(cos 60)?

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How do you simplify $tan 30 + 2 (sin 45) (cos 60)$ $tan 30 + 2(sin 45)(cos 60)$ ?