Math, asked by dhruvaroy781, 3 months ago

ton A = 1/2and tan B = 1/3 l then fin the
Value of
(A + B)
-22/7/4​

Answers

Answered by baranishanmu
1

Step-by-step explanation:

cosA+cosB=1

⇒2cos(

2

A+B

)cos(

2

A−B

)=1

Since A+B=

3

π

2

A+B

=

6

π

Hence cos(

3

A+B

)=cos(

6

π

)=

2

3

⇒2cos(

2

A−B

)=

2

3

1

⇒cos(

2

A−B

)=

3

1

Squaring both sides, we get

cos

2

(

2

A−B

)=

3

1

⇒2cos

2

(

2

A−B

)=

3

2

⇒2cos

2

(

2

A−B

)−1=

3

2

−1=cos(A−B)=

3

−1

∣cosA−cosB∣=2sin(

2

A+B

)sin(

2

B−A

)

=2×

2

1

1−

3

1

=

3

2

(on simplification)

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