Math, asked by niranjan8636, 11 months ago

if sin a + b is equals to 1 and Cos A + B is equals to root 3 by 2 whereas a is Lesnar then b find the value of B​

Answers

Answered by jaianuramraguraman15
0

Answer:

Step-by-step explanation:sin(a+b)=1

sin(a+b)=sin90

a+b=90

cos(a-b) =cos30

a-b=30solving this a=60 b=30

Answered by Rudra0936
5

 \bold{question \: } :

sin(a + b) = 1 \: and \: cos(a - b) =  \frac{ \sqrt{3} }{2}

So we need to find the values of both a and b

So let us start

 =   > sin(a + b) = 1 \\  \\  =  > sin(a + b) = sin90 \degree  \\  \bold{cancelling \: sin \: on \: both \: sides} \\  \\  =  > a + b = 90....(1)

And

 =  >cos(a  -  b) =  \frac{ \sqrt{3} }{2}  \\  \\  =   > cos(a - b) = cos30  \degree   \\  \bold{ cancelling \: cos \: on \: both \: sides} \\  \\  =  >a - b = 30....(2)

Now eq (1)-(2)

 =  > (a + b = 90) - (a - b) = 30 \\  \\  =  > 2b = 60 \\  \\  =  > b = 30

So by putting the value of b in eq (1) we can calculate out the value of a

so ,b=30

° a+b=90

=> a= 60

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