If 24 is 60% of a value, what is the total value
1 answer:
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Answer:
The value of sin Ф is
Step-by-step explanation:
In quadrant II, the value of
- sin Ф is positive
- cos Ф is negative
- tan Ф is negative
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