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const2013 [10]
3 years ago
10

Urgent, please i will give brainliest

Mathematics
2 answers:
Drupady [299]3 years ago
7 0

Answer:

1). First option √13/3

2).  Third option 3.2362

3). Third option   60/11

Step-by-step explanation:

<u>1). To find cosec </u><u>θ </u>

It is given cot θ = 2/3

We have cotθ = adjacent side /Opposite side

Hypotenuse = √(adjacent  side² + opposite side²) =√(2² + 3²) = √13

Cosec θ = Hypotenuse/opposite side = √13/3

<u>2). To find cosec θ </u>

It is given that,

Sinθ  = 0.3090

Cosec θ = 1/Sinθ  = 1/0.3090 = 3.2362

<u>3). To find cot θ </u>

It is given that,

Tanθ  = 11/60

Cot θ  = 1/tan θ  = 1/(11/60) = 60/11

Ne4ueva [31]3 years ago
3 0

Answer:

1. \frac{\sqrt{13} }{3}

2. 3.2362

3. \frac{60}{11}

Step-by-step explanation:

1.

Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>

By pythagorean theorem, we have the "hypotenuse" as  \sqrt{2^2+3^2}=\sqrt{13}

Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc \theta = \frac{\sqrt{13} }{3}</em>

<em />

<em>First answer choice is right.</em>

<em />

2.

By definition, Csc \theta is the inverse of Sine \theta. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

Csc\theta=\frac{1}{0.3090}\\=3.2362

Third answer choice is right.

3.

By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

Cot\theta=\frac{60}{11}

Third answer is right.

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