Find the values of the trigonometric functions of t from the given information.csc(t) = 6, cos(t) < 0sin(t) = cos(t) = tan(t) = sec(t) = cot(t) =

Question

Find the values of the trigonometric functions of t from the given information.

$\csc(t) = 6, \qquad \cos(t) < 0$

$\sin(t) = \qquad \cos(t) = \qquad \tan(t) = \qquad \sec(t) = \qquad \cot(t) =$

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Solution

Given that csc(t) = 6, we can find sin(t) as the reciprocal of csc(t). So, sin(t) = 1/csc(t) = 1/6.

Since cos(t) < 0, we know that t is in the second or third quadrant (where cosine is negative).

In the second quadrant, sine is positive, so we can assume t is in the second quadrant because sin(t)

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Find the values of the trigonometric functions of t from the given information.csc(t) = 6, cos(t) < 0sin(t) = cos(t) = tan(t) = sec(t) = cot(t) =

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