Question

8 sin^2 x + 3 cos^2 x = 5 then cot x = ?​

Answer 1

Step-by-step explanation:

8sin^{2}sin

2

x+5cos^{2}cos

2

x=5

8sin^{2}sin

2

x+(8-5)cos^{2}cos

2

x=5

8sin^{2}sin

2

x+8cos^{2}cos

2

x-5

8(sin^{2}sin

2

x+cos^{2}cos

2

x)-5

8(1)-5cos^{2}cos

2

x=5

-5cos^{2}cos

2

x=5-8

-5cos^{2}cos

2

x=-3

cos^{2}cos

2

x=-3/-5

cosx=+-\sqrt{3/5}+−

3/5

sinx=+-\sqrt{2/5}+−

2/5

cotx= cosx/sinx

cotx= +-\sqrt{3/2}

3/2