Question

if root 3 sin theta is equal to cos theta find the value of sin theta X tan theta X 1 + cos theta upon sin theta + cos theta

Answer 1

√3sin@=cos@,

sin@/cos@=1/√3,

tan@=1/√3,

tan@=tan30°,

then
@=30°,


therefore

(sin@×tan@×1+cos@)/(sin@+cos@),

(sin30°×tan30°×1+cos30°)/(sin30°+cos30°),

(1/2×1/√3+√3/2)/(1/2+√3/2),

[(1+3)/2√3]/[(1+√3)/2],

[4/2√3]/[(1+√3)/2],

(2/√3)/[(1+√3)/2,

4/[√3(1+√3)]