If secθ = -5/2 and cotθ < 0, what is sin θ and cot θ

Step-by-step explanation:

secant and cosine are reciprocal functions.

So if then .

Now we are going to use Pythagorean Identity: to find the sine value of theta.

Subtract 4/25 on both sides:

Take the square root of both sides:

We were given that the cotangent value is negative and that cosine is negative so sine is positive since cotangent is the ratio of cosine to sine.

This means we can rule out the negative value for sine:

Rationalize the denominator by multiplying numerator & denominator by :

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step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|