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1.
Use the distance formula to find the distance between the points: (-5,2) and (3,-7)
2.
If (a,b) represents a point that lies in quadrant II, in which quadrant will each point lie in?
3.
(a) (-a,b)
(b) (-a,-b)
(c) (a,-b)
Determine whether the following points form vertices of a right triangle.
4.
(4 − √3, −2√3) , (2 − √3, −√3) , (3 − √3, −2√3)
Perform the calculation.
75°15’ + 83°32’
5.
Perform the calculation.
90° - 36°18’59”
6.
Convert to decimal degrees
165°51’9”
7.
Convert to degrees, minutes, seconds.
59.0854°
8. Find the angle of the smallest positive measure coterminal with -203°
9.
Let f(x) = -2x2 + 4x + 6
Find the following:
f(-2) and f(2-p)
10. Find the domain and range of the following function: y = √4 + 𝑥
11. The measures of two angles of a triangle are given. Find the measure of the third angle.
29° , 104°
12. Find the unknown angle measures in the pair of similar triangles.
78°
46°
13. Find all 6 trigonometric values for the angles in standard position given the point (-4,-3) on its
terminal side.
14. Find all 6 trigonometric values of 𝜃 for the equation 3x + 5y = 0, x ≥ 0