3 years ago

Given: x - 6 ≤ 1. Choose the solution set.

Mathematics

1 answer:

Gemiola [76]3 years ago

8 0

Answer:

x<7

Step-by-step explanation:

See image below:)

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Which of the following expression expressions is equivalent to cos3x/sinxcosx?

77julia77 [94]

Correct Option:
Option B

Solution:
The given expression is:

$\frac{cos(3x)}{sin(x)cos(x)}$

cos(3x) can be written as cos(2x +x). Expanding it, we get:

$cos(3x) = cos(2x+x) \\ \\ 
cos(3x) =cos(2x)sin(x)-sin(2x)cos(x)$

Using this value of cos(3x) in given equation, we get:

$\frac{cos(3x)}{sin(x)cos(x)} \\ \\ 
= \frac{cos(2x)sin(x)-sin(2x)cos(x)}{sin(x)cos(x)} \\ \\ 
= \frac{cos(2x)sin(x)}{sin(x)cos(x)}- \frac{sin(2x)cos(x)}{sin(x)cos(x)} \\ \\ 
= \frac{cos(2x)}{cos(x)} - \frac{sin(2x)}{sin(x)} \\ \\ 
=sec(x)cos(2x)-csc(x)sin(2x)$

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