Question

find out tan 120 degrees​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

By using basics of Trigonometry

As we Know

1- Tan(2n+1)90+x=Cotx

Where n =Integer, x=angle in degree

2- In 1st quadrant All the Trigonometric ratio has Positive value but In 2nd quadrant only Sin & Cosec, in 3rd quadrant only Tan & Cot and in 4th quadrant only Cos & Sec have positive values.

Now try to solve this problem,

|Tan{120}|=|Tan{(2*0+1)90+30}|=|Cot{30}|=1.73

So Numerical Value for Tan{120} is 1.73.

But as angle 120 degree falls in 2nd quadrant, in which Tan always takes negative values. So finally

Tan{120}= -1.73

3- FORMULA

Tan(x+y)=Tan(x)+Tan(y)/1−Tan(x)Tan(y)

Tan{120}=Tan(60+60)= {Tan(60)+Tan(60)}/{1- Tan(60)Tan(60)}

={2Tan(60)}/{1-2Tan(60)}

={2*1.73}/{1-1.73*1.73}

={3.46}/{1-3}

= {3.46}/{-2}

=-1.73

So Tan120=-1.73

So we have solve the problem with two methods and can verify result also.