Question

18.
manight angle triangle ABC, right angle is at B, if tanA= 3 then find the value o
(i) sin A cos C+ cos A sin C
(ii) cos A cos -sin A sin C
Distribution by A.P. Government​

Answer 1

Answer:

(i) 1

(ii) 0

Step-by-step explanation:

We know tan=(perpendicular/base).

Given tan A=3, so the ratio can be assumed as 3:1. Now perpendicular=3, base=1, by Pythagoras theorem, hypotenuse=√10.

Thus we can get any trigonometric identity.

sin A=(p/h)=3/√10

cos A=(b/h)=1/√10

sin C=(p/h)=1/√10

cos C=(b/h)=3/√10

The above relations depends on the angle(A or C).

Hence the result.