Question

if 3 sin a equals to 4 cos a find the value of cos a and sin a​

Answer 1

Step-by-step explanation:

3 sin a = 4 cos a

sin a = 4cos a/3

# 3sin a = 4cos a

3sin a/4= cos a

cos a = 3sin a/4

Answer 2

Answer

4/5 = sin a,

3/5 = cos a

explanation

given

3sin a = 4 cos a

sin a/ cos a = 4/3

take square on both side

sin^2 a / cos^2 a = 16 /9

we have sin^2 a+ cos^2 a = 1

1- cos^2 a /cos^2 a = 16/9

9- 9cos^2 a = 16 cos^2 a

9 = 25cos^2 a

9/25 = cos^2 a

3/5 = cos a

and we have sin^2 a + cos^2 a = 1

so sin a 4/5