Answer:
-5/2
Step-by-step explanation:
In order to find the slope of a perpendicular line: negate the reciprocal of the original slope
Answer may be 0.2407 i think
Answer:
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Step-by-step explanation:
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to verify that:

Note that cot(x) = cos(x) / sin(x). Hence:

Multiply:

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

Split:

Simplify:

Problem 2)
We want to verify that:

Square:

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

Factor out the sin²(x) from the denominator:

Factor (perfect square trinomial):

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

Factor (difference of two squares):

Factor out a negative from the first factor in the denominator:

Cancel:

Distribute the negative into the numerator. Therefore:
