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Precalc! 50 points! please someone help me i’ll do anything for you

Precalc! 50 points! please someone help me i’ll do anything for you-example-1

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Explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that


{x}^(2) + {y}^(2) = {r}^(2)


{ - 5}^(2) + {1}^(2) = r {}^(2)


25 + 1 = r {}^(2)


26 = r {}^(2)


r = √(26)

Now let find the sin, csc, and tan.

To find sin let use the formula


(y)/(r)


(1)/( √(26) )

Rationalize the denominator


(1)/( √(26) ) * ( √(26) )/( √(26) ) = ( √(26) )/(26)


\sin = ( √(26) )/(26)

To find cosecant, it is the reciprocal of sin so it would be


\csc = (26)/( √(26) ) * ( √(26) )/( √(26) ) = √(26)

To find tan, do


(y)/(x)

Which is simply


\tan= (1)/( - 5)

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

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