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The problem is attached.

The problem is attached.-example-1
User Zhafur
by
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1 Answer

5 votes

Answer:

Cosec θ = – 25/24

Explanation:

From the question given, we obtained the following information:

Tan θ = – 24/7

Cosec θ =?

Tan θ is negative in the forth quadrant.

Please see attached photo.

Tan θ = Opposite /Adjacent

Opposite = – 24

Adjacent = 7

Hypothenus = x

Thus, we can obtain the value of x by using the pythagoras theory as illustrated below:

x² = (–24)² + 7²

x² = 576 + 49

x² = 625

Take the square root of both side

x = √625

x = 25

Next, we shall determine Sine θ. This can be obtained as follow:

Opposite = – 24

Hypothenus = 25

Sine θ = ?

Sine θ = Opposite /Hypothenus

Sine θ = –24/25

Finally, we shall determine the Cosec θ. This can be obtained as follow:

Cosec θ = 1 /Sine θ

Sine θ = –24/25

Cosec θ = 1 ÷ –24/25

Cosec θ = 1 × – 25/24

Cosec θ = – 25/24

The problem is attached.-example-1
User Vdrmrt
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7.0k points