Question

2

If 2cos ² (180+x) + 3 sin (180+x) vanishes then the value of x
lying in the interval of
0 to 2pie are??
Plz give me the solution as fast as possible​

Answer 1

Step-by-step explanation:

10th

Maths

Introduction to Trigonometry

Trigonometric Ratios

If 2cos 2(π + x) + 3sin (π ...

MATHS

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Asked on January 17, 2020 by

Piroj Mathu

If 2cos

2

(π+x)+3sin(π+x) vanishes then the values of x lying in the interval from 0 to 2π are

A

x=

6

π

or 5

6

π

B

x=

3

π

or 5

3

π

C

x=

4

π

or 5

4

π

D

x=

2

π

or 5

2

π

MEDIUM

Help best friend

Study later

ANSWER

Given,

2cos

2

(π+x)+3sin(π+x)

=2cos

2

(x)−3sin(x)

=(1−sin

2

(x))⋅2−3sin(x)

∴sin(x)=−2,sin(x)=

2

1

sin(x)=−2:None

and sin(x)=

2

1

:x=

6

π

+2πn,x=

6

5π

+2πn

∴x=

6

π

or

6

5π

hope this can help you