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If cos(A+B)=(1)/(2) and B= sqrt2," then ...

If `cos(A+B)=(1)/(2) and B= sqrt2," then find " A and B`.

Text Solution

Verified by Experts

Givnen,
`cos(A+B)=(1)/(2)`
`cos(A+B)=cos60^(@)`
`A+B= 60^(@)" "(1)`
`sec B=sqrt2=sec45^(@)`
`B = 45^(@)" "(2)`
From Eqs. (1) and (2), we have
`therefore A = 15^(@) and B=45^(@)`.
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