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X = 44.4 degrees

Step-by-step explanation: The figure given is a right angled triangle with two sides given as well as one angle unknown.

Angle X, which is the unknown, is the reference angle in this question. So we have an opposite which is the side facing the reference angle (line 7 units) and we have an hypotenuse which is the side facing the right angle (line 10). Having an opposite and an hypotenuse, we can use the trigonometric ratio of sine.

SinX = opposite/hypotenuse

SinX = 7/10

SinX = 0.7000

Looking up a table of values or checking the calculator, 0.7000 under sine of angles gives 44.4270

Therefore angle X is approximately 44.4 degrees (approximated to the nearest tenth)

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: