I NEED UR HELP DEADLINE NA KASI BUKAS DUMAGDAG PA SI MA'AM
A. Identify the quadrant where the angle in standard position lies.
1) 40\deg ________
2) 330\deg _________
3) 395\deg _________
B. Convert the following radian measure into degrees.
1) 3π
2) 7π3
C. Convert the following degree measures into radians.
1) 375°
2) -2100
D. Find the smallest positive angle that is coterminal with the following angles.
1) 15π6
2) 14π5
A. Identify the quadrant where the angle in standard position lies.
1) 40\deg ________
2) 330\deg _________
3) 395\deg _________
B. Convert the following radian measure into degrees.
1) 3π
2) 7π3
C. Convert the following degree measures into radians.
1) 375°
2) -2100
D. Find the smallest positive angle that is coterminal with the following angles.
1) 15π6
2) 14π5
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Answer:
A. 1.) Quadrant I
2.) Quadrant IV
3.) Quadrant I
B. 1.) 340°
2.) 420°
C. 1.) 25π/12
2.) 7π/6
D. 1.) 9π/2
2.) 24π/5
Explanation:
A. 1. 40° = Angles between 0° - 90° are in the first quadrant
2. 330° = Angles between 270° - 360° are in the fourth quadrant
3. 395° = Angles between 360°- 450° are in the first quadrant
B. Since 2π radians = 360°
π radians = 180°
1 radian = 180°/π
1.) 3π = n° 2.) 7π/3
3π x 180°/π 7π/3 x 180°/π
340° 420°
C. Since 1 degree = π/180 radians
1.) 375° = n radians 2.) -210°
375° x π/180° -210° x π/180°
25π/12 -7π/6
D. 1.) 15π/6 + 2π = [15π+6(2π)]/6 = 27π/6 = 9π/2
2.) 14π/5 + 2π = [14π+5(2π)]/5 = 24π/5