Question

In triangle ABC, right-angled at B, if tan A = 1/route 3 find the value of:(1) sin A cos C + cos A sin C(i) cos A cos C - sin A sin C​

Answer 1

tanA=

$\frac{1}{ \sqrt{3} }$

so, angle A=30°

so,C=60°

(1)SinAcosC+cosAsinC=1/2*1/2+√3/2*√3/2=1

(2)cosAcosC-sinAsinC=√3/2*1/2-1/2*√3/2=0