Math, asked by mysticd, 1 year ago

if sin(A+B) =1/root2 and
cos(A-B)= 1/root2,
then find <B.

Answers

Answered by HappiestWriter012
10
sin(A+B)=1/√2

sin(45°)=1/√2

sin(45°)=sin(A+B)

A+B=45°

cos(A-B)=1/√2

cos (45°)=1/√2

cos(45°)=cos (A-B)

A-B=45°

A+B+A-B=45+45

2A=90

A=90/2=45

A=45

B=0


(A,B)=45,0

hope helped!!!



HappiestWriter012: certify my answer
Answered by Ramanan2018
4

sin(A+B)=1/√2

sin(45°)=1/√2

sin(45°)=sin(A+B)

A+B=45°

cos(A-B)=1/√2

cos (45°)=1/√2

cos(45°)=cos (A-B)

A-B=45°

A+B+A-B=45+45

2A=90

A=90/2=45

A=45

B=0

(A,B)=45,0

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