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:
p = 132 - 30d
Step-by-step explanation:
Here, we can plug in x = 6 into the equation provided at the end of the problem.
p = 6[25 - (3 +5d)]
p = 150 - 18 - 30d
p = 132 - 30d
Answer: List of the angles from smallest to largest are C, B and A
Step-by-step explanation:
The diagram of triangle ABC is shown in the attached photo. Since none of the sides are equal, then it is a scalene triangle.
From the information given,
AB = m – 2
BC = m + 4
AC = m
It means that the longest side is BC, the medium side is AC and the shortest side is AB. Therefore,
The smallest angle is angle C.
The medium angle is angle B.
The largest angle is angle A
We know that Bob and Caitlyn are playing a trading-card game. Between them, they have 81 cards. <span>Bob has 7 fewer cards than Caitlyn. Since Bob has 7 cards fewer them Caitlyn we have to divide by 2 and subtract 7.
81 / 2 = 40 [rounded]
40 - 7 = cards Bob has
= 33 cards bob has
</span>
Answer:
35
Step-by-step explanation:
All angles of a triangle add up to 180 degrees, so you can add the other two angles, then subtract by 180.