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Find the reference angle of .

 

Using the calculator, find the acute angle to the nearest hundredth of a degree given .

 

Find the exact value of whose angle is located in Quadrant III and .        

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Ranti Timario
Ranti TimarioLv10
17 Jan 2021

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How to find the measure of each acute angle in a right angle if one of the acute angle is twice the difference of acute angle and 12.

In this exercise, we find a formula for the angle formed by two lines in a coordinate plane. 

(a) If is a line in the plane and is the angle formed by the line and the -axis as shown in the figure, show that the slope of the line is given by 

(b) Let and be two nonparallel lines in the plane with slopes and , respectively. Let be the acute angle formed by the two lines (see the following figure). Show that 

(c) Find the acute angle formed by the two lines

and  

(d) Show that if two lines are perpendicular, then the slope of one is the negative reciprocal of the slope of the other. [Hint: First find an expression for .]

(a) The radian measure of an angle is the length of the _________ that subtends the angle in a circle of radius ___________.

(b) To convert degrees to radians, we multiply by _________.

(c) To convert radians to degrees, we multiply by _________.

 

Find the radian measure of the angle with the given degree measure .

 

Find the degree measure of the angle with the given radian measure .

\left(175^\circ\times\frac{\pi}{180}\right)+1.5\text{rad}

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