If a = -1, b = 2, and c = 3, then a + 4b + 2c is equal to:
1 answer:
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The values of cosine Ф and cotangent Ф are and -1
Step-by-step explanation:
When a terminal side of an angle intersect the unit circle at
point (x , y), then:
- The x-coordinate is equal to cosine the angle between the positive part of x-axis and the terminal side
- The y-coordinate is equal to sine the angle between the positive part of x-axis and the terminal side
- If x and y coordinates are positive, then the angle lies in the 1st quadrant
- If x-coordinate is negative and y-coordinate is positive, then the angle lies in the 2nd quadrant
- If x and y coordinates are negative, then the angle lies in the 3rd quadrant
- If x-coordinate is positive and y-coordinate is negative, then the angle lies in the 4th quadrant
∵ The terminal ray of angle Ф intersects the unit circle at point
- According to the 1st and 2nd notes above
∴ cosФ = x-coordinate of the point
∴ sinФ = y-coordinate of the point
∵ The x-coordinate of the point is negative
∵ They-coordinate of the point is positive
- According the the 4th note above
∴ Angle Ф lies in the 2nd quadrant
∵ x-coordinate =
∴ cosФ =
∵ y-coordinate =
∴ sinФ =
- cotФ is the reciprocal of tanФ
∵ tanФ = sinФ ÷ cosФ
∴ cotФ = cosФ ÷ sinФ
∴ cotФ = ÷
∴ cotФ = -1
The values of cosine Ф and cotangent Ф are and -1
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Answer:
Step-by-step explanation:
To solve this operation we need to find the common multiple of both denominators and solve for a.
Thus, the solution is 7(a -1) / (a+2)(a-5)
The logarithm of 10 to base 10 is 1
<h3>How to determine the logarithm?</h3>The given parameters are:
Base = 10
Number = 10
So, the expression is:
As a general rule;
The above means that;
When the base and the number are the same, the logarithm is 1
So, we have:
Hence, the logarithmic value is 1
Read more about logarithm at:
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