Muhaman H.

asked • 07/20/17

Let , (2,-3) be a point on the terminal side of θ . Find the exact values of sinθ , secθ , and tanθ .

Let , (2,-3) be a point on the terminal side of θ . Find the exact values of sinθ , secθ , and tanθ .

Arturo O.

What do you mean by 2-3 ?  Do you mean (2,3)? Please edit the problem statement.
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07/20/17

Muhaman H.

sorry just fixed it!
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07/20/17

Arturo O.

Or (2,-3), or something else?
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07/20/17

Muhaman H.

yeah sorry thats actually it 
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07/20/17

Muhaman H.

(2,-3)
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07/20/17

1 Expert Answer

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Arturo O. answered • 07/20/17

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Okay, let us work with (2,3).
 
sinθ = 3/√(22 + 32) = 3/√13 = (3√13)/13
 
secθ = 1/cosθ = √(22 + 32) / 2 = (√13)/2
 
tanθ = 3/2
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Muhaman H.

thanks for the answer but its (2,-3). sorry!
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07/20/17

Arturo O.

If the point is (2,-3), then
 
sinθ = -3/√[22 + (-3)2] = -3/√13 = (-3√13)/13

secθ = 1/cosθ = √[22 + (-3)2) / 2 = (√13)/2

tanθ = -3/2
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07/20/17

Muhaman H.

thanks!
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07/20/17

Arturo O.

You are welcome, Muhaman. 
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07/20/17

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