We can use the Pythagorean Trigonometric Identity which says:

Since we need to find sin(t), we have to solve for it:

Let's plug in the given cos(t) value:

And solve sin(t):

Simplify further:

And it all simplifies down to:

Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is:

Hope this helps!
<span>With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.</span>
Answer:
c. an algorithm
Step-by-step explanation:
Most math problems are best solved using an algorithm. Certainly, converting numbers from one form to another is easily done that way.
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The integer part is the whole-number quotient of the division. The fractional part is the remainder divided by the denominator:
39/8 = 32/8 + 7/8 = 4 7/8