Question

If 2 cos = 2 sin , then what is the value of cos ?

Answer 1

Answer:

Rajukumar111 Maths AryaBhatta

From given :-

2cos¢ = 2 - sin¢

2 - 2cos¢ = sin¢

squaring on both side ^^

we get ,

(2- 2cos¢ )² = (sin¢ )²

4 + 4cos²¢ - 8cos¢ = sin²¢

4 + 4cos²¢ - 8cos¢ - sin²¢ =0

4cos²¢ - sin²¢ - 8cos¢ + 4 =0

4cos²¢ - ( 1 - cos²¢ ) - 8cos¢ + 4 =0

4cos²¢ - 1 + cos²¢ - 8cos¢ + 4 =0

5cos²¢ - 8 cos¢ + 3 = 0

just using this term as quadratic equation .. just imagine cos¢ = x

then we get

5cos²¢ - 5co¢¢ - 3cos¢ + 3 = 0

5 cos¢ ( cos¢ - 1 ) - 3 ( cos¢ - 1 ) = 0

( 5cos¢ - 3) ( cos¢ - 1 ) = 0

<< [taking common terms]

( 5cos¢ - 3) = 0

cos¢ = 3/5

and similarly ..

cos¢ - 1 = 0

cos¢ = 1

Hence, cos¢ = 1 and 3/5 Answer ✔

Answer 2

Hello mate,✌

Here is your uncopied answer:-

=>2 cos= 2 sin

=>cos =2sin

2

=>cos theta=sin theta

As we know,

sin^2 + cos^2= 1

cos^2 + cos^2=1. (sin=cos)

2cos^2=1

cos^2=1/2

cos =whole root of (1/2)

=0.5

Hope it helps.

Please mark as Brainliest.

I have done it by myself and did not copy from Google... ^_^