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. cos u = - 4 5 , π 2 < u < π
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. cos u = - 4 5 , π 2 < u < π
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.
Trigonometric Substitution In Exercises 59–62,use the trigonometric substitution to write the algebraicequation as a trigonometric equation of θ, where−π2 < θ < π2. Then find sin θ and cos θ.59. √2 = √4 − x2, x = 2 sin θ60. 2√2 = √16 − 4x2, x = 2 cos θ61. 3 = √36 − x2, x = 6 sin θ62. 5√3 = √100 − x2, x = 10 cos θ
identify A, B, C, and D for the sine functions in Exercises 67–70 and sketch their graphs.
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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