Math, asked by AryanSamyal, 4 months ago

If sin (A - B) = 1/2, cos (A + B) = 1/2, find A and B.​

Answers

Answered by akankshagavhane25
1

Answer:

sin(A−B)=

2

1

⇒sin(A−B)=30

o

[∵sin30

o

=

2

1

]

On equating both sides

A−B=30

o

...(1)

cos(A+B)=

2

1

⇒cos(A−B)=cos(60

o

)[∵cos(60

o

)=

2

1

]On equating both sides

A+B=60

o

..(2)

Adding (1) and (2)

2A=90

o

⇒A=45

o

Putting value of A in (i)

45

o

+B=60

o

⇒B=15

o

Hence A=45

o

; B=15

o

Step-by-step explanation:

I hope this will help you

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