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irakobra [83]
2 years ago
6

Let be an angle in standard position. Name the quadrant in which lies. cos >0, cot >0

Mathematics
1 answer:
Alexeev081 [22]2 years ago
4 0

Answer:

Quadrant I

Step-by-step explanation:

The quadrants where cos\theta>0 are Quadrant I and Quadrant IV. Since cot\theta=\frac{cos\theta}{sin\theta} and sin\theta is positive in Quadrant I, then Quadrant I will contain values of \theta where cos\theta>0 and cot\theta>0

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Find the period of the function. y=3 sin x/8
Alexus [3.1K]

Answer:

The period of given function is  Period = 16\pi

So, Option B is correct.

Step-by-step explanation:

In this question we need to find the period of the function y= 3 sin x/8

The formula used to find period of function is: \frac{2\pi }{b}

We need to know the value of b.

To find the value of b we compare the standard equation with the equation of function given.

Standard Equation: y = a sin(bx - c) +d

Given Equation: y= 3 sin(x/8)

Comparing we get:

a= 3

b= 1/8

c= 0

d=0

So, we get the value of b i.e 1/8. Putting it in the formula to find period of given function.

Period = \frac{2\pi }{b}

Period = \frac{2\pi }{\frac{1}{8}}

Solving,

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So, the period of given function is  Period = 16\pi

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3 years ago
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