Question

If 5 sin square theta + 4 cos square theta is equals to 9 by 2 then find the value of tan theta

Answer 1

Step-by-step explanation:

I hope it will help you.

Answer 2

Answer:

1

Step-by-step explanation:

○ = theta

5sin²○ + 4cos²○ = 9/2

sin²○ + 4sin²○ + 4cos²○ = 9/2

sin²○ + 4(sin²○ + cos²○) = 9/2

(sin²○+cos²○=1)

sin²○ + 4(1) = 9/2

sin²○ + 4 = 9/2

sin²○ = 9/2 - 4

sin²○ = 1/2

sin○ = 1/(2)½

sin○ = sin45°

○ = 45°

tan○ = tan45°

tan○ = 1