Given right triangle GYK, what is the value of tan(G)? One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction Start…

Question

asked Jul 3, 2020 174k views

2 Answers

Nbloqs · Answer 1 · 2020-07-10T01:11:38+0000

Answer:

The value of tan(G) in the right triangle GYK Is
√(3)

Explanation:

Given

Measure of angle at
$G=60^(\circ)$

Measure of angle at
$Y=30^(\circ)$

Measure of angle at
$K=90^(\circ)$

To find:

$\tan (G)=?$

Solution:

In trigonometry we know that

$\tan G=(\sin G)/(\cos G)$

$G=60^(\circ)$

So,

$\sin (60)=(√(3))/(2)$

$\cos (60)=(1)/(2)$

Substituting in the formula we have,

$\tan G=((√(3))/(2))/((1)/(2))$

$\tan G=(√(3))/(2) * (2)/(1)$

$\tan G=((√(3))/(2))/((1)/(2))$

$\tan G=√(3)$

Result:

Thus the value of
$\tan G=√(3)$