Simplify the following expression:
2 answers:
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Answer:
Domain:
Range:
Decreases over:
Step-by-step explanation:
Given
--- Missing from the question
Solving (a): The domain
To get the domain, the expression under the square root must not be negative.
In other words:
Solve for x
Hence, the domain is:
To get the range, we plot the values of the domain in the expression.
So, the range is:
To get the interval where the function increases or not, we simply plot the graph of f(x).
See attachment for graph.
From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.
This implies that, the graph decreases over the interval
Answer:
csc θ = /6
sec θ = /7
tan θ = 6/7
Step-by-step explanation:
The first thing to do will be to compute the length of the hypotenuse using the Pythagoras theorem;
6^2 +7^2 = hypotenuse^2
hypotenuse =
csc θ = 1/sinθ
sinθ = opposite side/hypotenuse
= 6/
csc θ = /6
sec θ = 1/cosθ
cosθ = adjacent side/hypotenuse
sec θ = hypotenuse/adjacent side
= /7
tan θ = Opposite side/adjacent side
= 6/7