Math, asked by zoya3449, 11 months ago

If sin theta=cos theta then the value of 2sin theta-cos theta is​

Answers

Answered by radhu66
2

Answer:

sin theta = cos theta

2sin theta - cos theta

= 2cos theta - cos theta

= cos theta

2sin theta - cos theta = cos theta

Answered by hukam0685
0

The value of 2 \sin( \theta)  - \cos( \theta) =  \bf \frac{1}{ \sqrt{2} }

Given:

  •  \sin( \theta)   =  \cos( \theta) \\

To find:

  • Value of 2 \sin( \theta)  - \cos( \theta)

Solution:

Concept to be used:

  • Find the value of theta and solve the expression.

Step 1:

Find the angle for the given expression.

We know that

 \sin(45^{\circ} )   =  \frac{1}{ \sqrt{2}  }\\

and

\cos(45^{\circ} )   =  \frac{1}{ \sqrt{2} }\\

Thus,

If \sin( \theta )   =  \cos( \theta )   \\

so,

 \theta = 45^{\circ}\\

Step 2:

Put the value of angle.

 =  2 \sin( 45^{\circ})  - \cos( 45^{\circ})\\

or

 = 2 \times   \frac{1}{ \sqrt{2} }   -  \frac{1}{ \sqrt{2} }  \\

or

 =  \frac{2}{ \sqrt{2} }  -  \frac{1}{ \sqrt{2} }  \\

or

 =  \frac{2 - 1}{ \sqrt{2} }  \\

or

 \bf =  \frac{1}{ \sqrt{2} }  \\

Thus,

  {2 \sin( \theta)  - \cos( \theta) =   \frac{1}{ \sqrt{2} } } \\

__________________________

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