Question

Prove that 1+cos A=2cos^A/2 Please and correct and the wrong answers will be reported and don’t miss the chance of 50 points

Answer 1

Step-by-step explanation:

Well we know that for two angles

A

,

B

it holds that

cos

(

A

+

B

)

=

cos

A

cos

B

−

sin

A

⋅

sin

B

hence for

A

=

B

you get

cos

(

2

A

)

=

cos

2

A

−

sin

2

A

But

sin

2

A

=

1

−

cos

2

A

hence

cos

(

2

A

)

=

cos

2

A

−

(

1

−

cos

2

A

)

=

2

cos

2

A

−

1

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Answer 2

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