Question

in triangle abc right angle at b if tan a =1/root 3 find value of (1) sina cosc +cosa sinc (2) cosa cosc - sina sinc

Answer 1

hope this answer will help you.

Answer 2

Answer:

Step-by-step explanation:

Given:

tanA=1/√3

A=30°

since B is right angle, C=60°

Now,

sinA.cosC + cosA.sinC

=sin(A+C)

=sin(30°+60°)

=sin90°

=1

cosA.cosC - sinA.sinC

=cos(A+C)

=cos(30°+60°)

=cos90°

=0

 I HOPE IT IS HELPFUL