Honors Pre-Ββcalculus Name __________________________________
Test Review -Ββ Unit 6 Part 2 Date ______________________ Pd. _________
Find the exact values of each expression. Show all work!
1) πππ ππ π ____________
2) πππ ππΒ°πππ ππΒ° + πππ ππΒ°πππ ππΒ° ____________
3) πππ β π ππ
____________
4) πππ ππΒ°!πππ ππΒ°π!πππ ππΒ°πππ ππΒ°
____________
5) sin 105Β° _____________
6) cos 22.5Β° __________
Use the information about given angles Ξ± and Ξ² to find the exact values of parts a-Ββh. Show all work!
7) πππ πΆ = β ππ, π < πΌ < !!
!; πππ π· = β π
π , π < π½ < !!
!
a) πππ πΆ + π· _______________
b) πππ πΆ + π· _______________
c) πππ πΆ β π· _______________
d) πππ πΆ + π· _______________
e) πππ ππΆ _______________
f) πππ ππ· _______________
g) πππ π· π _______________
h) πππ πΆπ _______________
Express the product as a sum containing only sines or cosines.
8) cos(4ΞΈ) cos (2ΞΈ) ____________________________________________________
Express the sum or difference as a product of sines and/or cosines.
9) sin(4ΞΈ) β sin(2ΞΈ) ____________________________________________________
Solve each equation on the interval 0 β€ ΞΈ β€ 2Ο.
10) π ππ¨π¬π½ + π = π ____________________________________________________
11) πππ π½ = πππ π½ ____________________________________________________
12) πππππ π½ + πππ π½ β π = π ____________________________________________________
13) π¬π’π§ ππ½ = π ππ¨π¬π½ ____________________________________________________
Find the exact value. Show all work!
14) πππ πππ!π βπ + πππ!π β ππ
_______________
15) π¬π’π§ π ππ¨π¬!π β ππ
_______________
Solve the Identities
1) π ππ! !!= !
!!!"#!
2) tan 2π tan 6π = !"#!!!!"#!!!"#!!!!"#!
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