Question

7sinA+24cosA=25 find the value of tanA. plz help

Answer 1

since

7sinA+24cosA=25,

then

7/25 . sinA + 24/25 . cosA=1,

cosB . sinA + sinB . cosA=1, (where cosB=7/25 and sinB=24/25),

then

sin(A+B)=1,

sin(A+B)=sin90°,

A+B=90°,

A=90°-B,

therefore

tanA=tan(90°-B),

=cotB,

=7/24