Question

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
StartRoot 3 EndRoot

Answer 1

The answer is
`\sqrt{3`

Explanation:

Tan(G) = opposite side

adjacent side

Tan(G) =
`(√(3) )/(1)`

Tan(G) =
`√(3)`

Answer 2

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)`