Question

Write the principal solution of equation tan X = -1/√3

Answer 1

Step-by-step explanation:

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11th

Maths

Trigonometric Functions

Trigonometric Equations

Find the principal solution...

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Asked on December 27, 2019 by

Dinoj Jasim

Find the principal solution of the following equation:

tanx=

3

A

x=

3

π

and x=

3

4

π

B

x=

2

π

and x=

3

1

π

C

x=

4

π

and x=

3

2

π

D

x=3 and x=

3

4

π

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ANSWER

We have,

tanx=

3

tanx=tan(

3

π

)

x=π/3

−−−−−−eq

n

(1)

Put again equation

tanx=tan(π+

3

π

)

x=

3

4π

−−−−−−eq

n

(2)

From equation (1) and (2)

x=

3

π

,

3

4π

Hence this is the answer.