Given that \(\displaystyle{\sin{{A}}}={\frac{{{4}}}{{{5}}}},\ {\cos{{\left({A}+{B}\right)}}}={\frac{{{5}}}{{{13}}}}\) and that A

Kiara Haas

Kiara Haas

Answered question

2022-03-25

Given that sinA=45, cos(A+B)=513 and that A and B are acute, find cosB

Answer & Explanation

Jaslyn Allison

Jaslyn Allison

Beginner2022-03-26Added 13 answers

Hint cosB=cos((A+B)A) use the compound angle formula
Raiden Griffin

Raiden Griffin

Beginner2022-03-27Added 13 answers

A=arcsin45=arccos35
A+B=arccos513=arcsin1213
B=arccos513arccos35

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