Pregunta
Find the exact value of each of the following under the given conditions below.
(a)
(b)
©
(d)
(a)
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
(b)
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
(b)
©
(d)
(a)
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
(b)
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Ask by Wheeler Collins. in the United States
Jan 23,2025
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Solución

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Como
The Deep Dive
To solve for
and
, we need to find the values of
and
, and then we can use the angle addition formulas.
Given:
This tells us that
is in the second quadrant, where sine is positive and cosine is negative.
We can represent
as:
Let:
Using the Pythagorean identity:
Substituting back, we get:
Next, we have:
Now, we can compute
and
:
(a) For
:
Substituting in the values:
Thus, the exact value is:
(b) For
:
Substituting our values:
Thus, the exact value is:

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