Question
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(b)
(d)

Ask by Floyd Turner. in South Africa
Mar 14,2025

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Tutor-Verified Answer

Answer

(b) Simplify:
The expression simplifies to .
(d) Simplify:
The expression simplifies to .

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Bonus Knowledge

Let’s break down each part.
For the first expression, we can use trigonometric identities. Notably, and . Hence, the expression simplifies to which equals (for not equal to , ). Simplifying the denominator involves .
For the second expression, we apply the cosine identity: and . Thus, the numerator simplifies to , making the whole expression undefined as the denominator does not affect the outcome of the numerator being zero.
So it results in the forms and undefined respectively!

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