Download Pre-Calculus Worksheet

Pre-Calculus Worksheet
6.7, 6.8 – Review Solving Trig Equations
Name _________________________
Date ____________ Period _____
Solve the following with a partner. Each partner should complete this practice and show all work. Be
conscious of the algebra and identities you use. If the problem involved identities, ask each other whether
a different substitution could have been used. Explain why you chose your original process.
Section I. Find the solutions to each equation in the interval [0,2 ) .
____________ 1.] 1  cos  
1
2
 
  1
3
____________ 3.] tan 
____________ 5.] 2 cos
2
  cos   0
____________ 2.] tan
2

1
3
____________ 4.] 5 csc(3 )  3  2
____________ 6.]
2cos2 x  3(1  sin x)
____________ 7.] 2 cos
2
  7 cos  4  0
____________ 8.] 8  12sin
2
  4 cos 2 
Section II. Find all the solutions to each equation. Write answers in terms of an integer k.
____________ 9.] sin 2  
2
2
____________ 11.] tan(3 )   3
____________ 10.]
tan   cot 
____________ 12.]
sin    cos
  cot   1
____________ 13.] sin x  sin x  0
____________ 14.] csc
____________ 15.] cos x  cos x
____________ 16.] 4sin
2
3
2
3
  2sin 2   2sin   1
Section III. Use a graphing calculator to find the solutions to each equation in the interval [0, 2  ). Round
to three decimal places. Show a good sketch of the graph that you used.
____________ 17.]
4 cos  3  0
____________ 18.]
sin   cos  