Question

if 7 sin square A+3 cos square A=4 show that tan A=1/root 3​

Answer 1

Step-by-step explanation:

7sin²x+3cos²x=4

4 sin² x+3 sin² x+3cos²x=4

4 sin² x+3=4

4sin²x=1

sin²x=1/4

sin x=1/2 or sinx =-1/2

taking the positive root

x=π/6

tan(π/6)=1/√3

proved...