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julsineya [31]
3 years ago
13

Suppose that tand cos t =q. Express the values ofthe five trigonometric

Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

Answer:

Five trigonometric functions.

Step-by-step explanation:

We are given the following information in the question:

\cos t = q

We have to find the values of the five trigonometric  functions at t in terms of q.

\sin^2 t + \cos^2 t = 1\\\sin^2 t + q^2 = 1\\\sin^2 t = 1-q^2\\\sin t = \sqrt{1-q^2}

\csc t = \displaystyle\frac{1}{\sin t} = \frac{1}{\sqrt{1-q^2}}\\\\\sec t = \frac{1}{\cos t} = \frac{1}{q}\\\\\tan t = \frac{\sin t}{\cos t} = \frac{\sqrt{1-q^2}}{q}\\\\\cot t = \frac{1}{\tan t} = \frac{q}{\sqrt{1-q^2}}

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Step-by-step explanation:

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Answer by mananth(16075) (Show Source): You can put this solution on YOUR website!

--------percent ---------------- quantity

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