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Answer:
- sin(θ) = -7/√65
- csc(θ)=-√65/7
- cot=-4/7
Step-by-step explanation:
For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.
d = √(4² +(-7)²) = √(16 +49) = √65
The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.
sin(θ) = y/d = -7/√65
csc(θ) = 1/sin(θ) = -√65/7
cot(θ) = x/y = -4/7
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If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.
Answer:
The coordinates for A is (6,8)!
Step-by-step explanation:
Substituting y in the first equation
At x = 1.17
At x = -1.17
The intersection points are (1.17, 5.85k) and (-1.17, -5.85k)
The graph would intersect regardless of what value k is.
Answer:
(b) 135°
Step-by-step explanation:
The arc has the same measure as the central angle it subtends. This fact is independent of the radius.
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The measure of the central angle is given as 135°, so the measure of the arc is 135°.
