Evaluating Functions Involving Double Angles In Exercises 21–24, use the given conditions to find the values of sin 2 u , cos 2 u , and tan 2 u using the double-angle formulas. 24. sec u = - 2 , π < u < 3 π 2
Evaluating Functions Involving Double Angles In Exercises 21–24, use the given conditions to find the values of sin 2 u , cos 2 u , and tan 2 u using the double-angle formulas. 24. sec u = - 2 , π < u < 3 π 2
Solution Summary: The author explains that the first category of Trigonometric Identities is functions of multiple angles.
Evaluating Functions Involving Double Angles In Exercises 21–24, use the given conditions to find thevalues of
sin
2
u
,
cos
2
u
, and
tan
2
u
using the double-angle formulas.
Using a Reference Angle In Exercises 55–58,evaluate the sine, cosine, and tangent of the anglewithout using a calculator.55. −150° 56. 495°57. π3 58. −5π4
Graph the functions in Exercises 13–22. What is the period of each function? 13. sin 2x 14. sin (x/2)
15. cos paix 16. cos (paix /2)
17. -sin paix/3 18. -cos 2paix
19. cos (x - pai/ 2) 20. sin (x + pai/6)
21. sin (x - pai/4) + 1 22. cos (x + 2pai/ 3 )-2
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures 0 radians (where 0 <0< 27). The circle's
radius is 2.8 units long and the terminal point is located at (1.27, 2.5).
4
(1.27,2.5)
-4
-1
-1
4
+3
What is the value of 0?
Preview
Enter a mathematical expression [more..]
2.
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Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY