TRIGONOMETRY IDENTITY ASSIGNMENT WITH ATTACHED WORD DOCUMENT FOR DETAILS: 

This is really kicking my butt folks.

Please see attached word document and complete the task. Show work please. 

Thank you. 

 

 

 

Turn-In Assignment: Trigonometric Identities Part II Show all work using Microsoft Equation editor in WORD Task 1: Refreshing fundamental identities learned in section 6.1
Turn in Exercise Set 6.1 Problems 31, 35 (Page 651) 31.) cos x
1−sin x
+
=2 sec x
1−sin x cos x 35.) sec x−csc x tan x−1
=
sec x+ csc x tan x +1 Task 2: Critical thinking exercise on Sum – Difference formula
1. Answer each of the following questions:
° a) sin 30 b) sin 60° = ? c) sin 30 d) sin(30+ 60)° ° =? °
+ sin 60 = ? (simplify) = sin 90 ° =? °
°
e) Does sin 30 + sin 60 equal sin(30+ 60)° f) Based upon your answers for (a) – (e), do you think
sin y is ALWAYS true? Justify your answer. M5_Learning_Module_Trig_Identities ? Answer Yes or No
sin(x + y ) = sin x + Trig Identities 2. Do you think cos( x+ y ) = cos x Page 2 of 3 + cos y is ALWAYS true? Justify your answer. (Hint: One way is to follow the steps (a) – (e) in the above problem, replacing Sine with Cosine.
There are other ways, too. Be creative! ) Task 3: Applying sum/difference formulas for sine, cosine and tangent (Page 661)
Turn in Exercise Set 6.2, Problems 10, 17, 19, 31, 38, 40, 61(b), 63(c) (Page 661)
Hint for 61(b) and 63(c): Quadrant info is super important
Instructions: While solving the above problems, show each step. Otherwise, points will be
deducted.
For question 10, verify and name the identity:
cos ( α −β ) 10.) sin α sin β =cot a cot β+1
For question 17 and 19, find the exact value of each expression: 17.) cos( 135° +30 ° )
19.) cos 75 °
For question 31, write each expression as the sine, cosine, or tangent of an angle. Then find
the exact value of the expression: 31.) π
Ï€
tan −tan
5
30
Ï€
Ï€
1+ tan tan
5
30 For question 38 and 40, verify each identity, name the identity: 38.) tan ( π−x )=−tan x
40.) cos ( α + β )+ cos ( α −β )=2 cos α cos β . Trig Identities Page 3 of 3 For questions 61 and 63, find the exact value of the following under the given conditions:
8
−1
61.) cos a= 17 , a lies∈quadrant IV ,∧sin β= 2 , β lies quadrant III . 63.) 3
3Ï€
1 3Ï€
tan α = , π <α <
,∧cos β= ,
< β< 2 π
4
2
4 2

Attachments:

• 1492844024-Turn - In Identity Assignment Part 2-11.docx