Question

in triangle ABC, angle B is 90 and tan A = 1/√3 then find the value of sin A cos C + cos A Sin C​

Answer 1

Answer:

1

Step-by-step explanation:

tanA = tan30°

A =30°

C = 180° -(90°+30°) = 60°

sin A cos C + cos A sin C

= sin 30 cos 60 +cos 30 sin 60

= 1/2 * 1/2 + √3/2 * √3/2

= 1/4 + 3/4

= 1