Math, asked by srabontighosh0298, 6 hours ago

tanB/2=4tanA/2 then proved tan(B-A/2)=3sinA/5-3cosA​

Answers

Answered by vkvinaysaidass0
0

Answer:

Given

tan

(

β

2

)

=

4

tan

(

α

2

)

then

tan

(

β

α

2

)

=

tan

(

β

2

)

tan

(

α

2

)

1

+

tan

(

β

2

)

tan

(

α

2

)

=

4

tan

(

α

2

)

tan

(

α

2

)

1

+

4

tan

(

α

2

)

tan

(

α

2

)

=

3

tan

(

α

2

)

1

+

4

tan

2

(

α

2

)

=

3

sin

(

α

2

)

cos

(

α

2

)

1

+

4

sin

2

(

α

2

)

cos

2

(

α

2

)

=

3

2

sin

(

α

2

)

cos

(

α

2

)

2

cos

2

(

α

2

)

+

8

sin

2

(

α

2

)

=

3

sin

α

1

+

cos

α

+

4

(

1

cos

α

)

=

3

sin

α

5

3

cos

α

=

R

H

S

Step-by-step explanation:

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