Consider angle θ in Quadrant lI, where cosθ = - 12/13. What is the value of sinθ?

The value of sin Ф is

Step-by-step explanation:

In quadrant II, the value of

Let us solve the question

∵ sin²Ф + cos²Ф = 1

∵ cos Ф =

→ Substitute it in the identity above

∴ sin²Ф + ()² = 1

∴ sin²Ф + = 1

→ Subtract from both sides

∵ sin²Ф +  -  = 1 -

∴ sin²Ф =

→ Take the square root of both sides

∵ √(sin²Ф)= ±

∴ sin Ф = ±

∵ Ф is in quadrant II

∴ sin Ф is a positive value

∴ sin Ф =

∴ The value of sin Ф is