Question

if sin 2x=3sin 2y ,prove that 2 tan (x-y)=tan(x+y)​

Answer 1

Answer:

Here is your answer...

Step-by-step explanation:

Here we know that,

sin

2

x

=

2

sin

x

cos

x

=

2

sin

x

cos

x

sin

2

x

+

cos

2

x

=

2

sin

x

cos

x

cos

2

x

sin

2

x

+

cos

2

x

cos

2

x

=

2

tan

x

1

+

tan

2

x

As we know that,

sin

(

A

+

B

)

=

sin

A

cos

B

+

sin

B

cos

A

cos

(

A

+

)

=

cos

A

cos

B

−

sin

A

sin

B

Alsosin

(

A

+

b

)

cos

(

A

+

b

)

=

sin

A

cos

B

+

cos

A

sin

B

cos

A

cos

B

−

sin

A

sin

B

Dividing the numerator and denominator by

cos

A

cos

B

=

sin

A

cos

B

cos

A

cos

B

+

sin

B

cos

A

cos

A

cos

B

1

−

sin

A

sin

B

cos

A

cos

B

=

tan

A

+

tan

B

1

−

tan

A

tan

B

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