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kaheart [24]
3 years ago
14

Write the expression in terms of sine and cosine and simplify so that no quotients appear in the final expression. Show work.

Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0
<h3>Answer:</h3>

sec²(x)

<h3>Explanation:</h3>

As required:

... = (sin²(x)/cos²(x))(1 +(cos²(x)/sin²(x))

... = (sin²(x)·(sin²(x)+cos²(x)) / (cos²(x)·sin²(x))

... = 1/cos²(x) = sec²(x)

_____

Alternatively, multiply out the given expression, then use trig identities.

... = tan²(x) + (tan(x)·cot(x))² = tan²(x) +1 = sec²(x)

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Step-by-step explanation:

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Talja [164]

Answer:

option C

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Step-by-step explanation:

we have

f(x)=-2\sqrt{x-3}+8

using a graphing tool

see the attached figure N1

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case A) f(x)=\sqrt{x-3}-8

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case D) f(x)=-\sqrt{x-3}-8

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snow_lady [41]

Step-by-step explanation:

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Similarly, solving for point B (4, __) =B (4, 0)

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