Pg. 271: 12,14,31 and Pg. 280: 2,7,11,13,19,24,26,40,44
Lesson
22 - 6.6 # 12 Find exact value for 
300 deg is in 4th Quadrant where x (+) and y (-); Reference angle is 60 deg where
So |
Lesson
22 - 6.6 # 14 Find exact value for
330 deg is in 4th Quadrant where x (+) and y (-); Reference angle is 30 deg where
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Lesson 21
- 6.6 # 21 If  , what is  ? For  .
So r = 17 and x = 1, by Pythagorean theorem
In 1st Quadrant all coordinates are (+), so
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Lesson 21 -
6.6 # 26 If  , what is  ? For  .
by Pythagorean theorem (all
positive in Q-I)
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Pg. 280: 2,7,11,13,19,24,26,40,44
Lesson
22 - 6.7 # 2 Find exact solution to 
This ratio gives
Note: Reference angle of 60 deg. |
Lesson
22 - 6.7 # 7 Find exact solution for  if 
Use the inverse tangent function of calculator
So theta, x = (-0.2365 - 7)/5 = -1.4473 rads.
Lesson 22 - 6.7 # 11
Find reference angle for
Lesson 22 - 6.7 # 13
Find reference angle for
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| Lesson 22
- 6.7 # 19 Find exact values for:
(a)
(b)
(c)
(d) |
Lesson 22
- 6.7 # 24 Find exact values for  , Looking for angle in radians.
This is - 45 deg, Q-IV, so in radian
Since sin(x) is also (-) in Q-III,
Lesson 22 - 6.7 # 25
Find exact values for
So |
| Lesson
22 - 6.7 # 40 Find exact values for
(a) - cos is (+ ½ ) in Q-I and Q-IV and Find angle (b) - cos is (- ½ ) in Q-II and Q-III and Find angle (c)
(d) |
Lesson
22 - 6.7 # 44 Study of distance from center of earth to
tangent line (tangent line to a circle is perpendicular to radius, r)
For right triangle OHC: CH or = 25,238.908 , since
When r = 6,370,00 mm and x = 50
Using arc length formula (
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So
(Q-I and Q-IV, since cos t is positive there); however,
going clockwise or negative angles from 0 to -360 deg, t also is 
, Q-IV, so
, Q-II, so
, cos (+) in Q-I and Q-IV. 
meters
)
