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Trigonometric Functions and Graphs Fitzpatrick Questions (1 Viewer)

frankfurt

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Hi everyone,

I had a question from Fitzpatrick 2U Chapter 12 Exercise 12.2 Question 5.d

Solve, for


I have no idea how to do this question, can you please help me out?

Thanks in advance:)
 

Drongoski

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Solution very nicely set out and handwriting really neat.
But not sure if your answers fully correct.

p/s: 3 values; yours correct.
 
Last edited:

frankfurt

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Thanks everyone,

Do guys know how to do these ones as well? They're from the same textbook, Fitzpatrick, Exercise 12.2 Question 7

1599963869074.png
 

CoolKids101

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Thanks everyone,

Do guys know how to do these ones as well? They're from the same textbook, Fitzpatrick, Exercise 12.2 Question 7

View attachment 28812
For (a) and (b), you can either use t-formula or auxiliary angles, but not sure if they are in 2U. For (c), try converting sec and tan to cos and sine and then simplify, and for (d) simply use your double angle formula's and simplify
 

frankfurt

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There were some other ones I didn't understand from this chapter either, could you please help me out with these ones too?

From Exercise 12.3:
Question 7
1599964112233.png

Question 8
1599964161094.png

From Exercise 12.4:
Question 2.e (I've attached the entire question for convenience)
1599964253032.png

Question 7.c and d (I've attached the entire question for convenience)
1599964313338.png

From the Chapter Review:
Question 1
1599964429677.png

Question 7
1599964469758.png

Thanks again in advance :)
 

frankfurt

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For (a) and (b), you can either use t-formula or auxiliary angles, but not sure if they are in 2U. For (c), try converting sec and tan to cos and sine and then simplify, and for (d) simply use your double angle formula's and simplify
Pretty sure that T-formula and auxiliary angles are in 3u but I was wondering if there was a way to solve this question using 2u content
 

mikikieko12

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There were some other ones I didn't understand from this chapter either, could you please help me out with these ones too?

From Exercise 12.3:
Question 7
View attachment 28813

Question 8
View attachment 28814

From Exercise 12.4:
Question 2.e (I've attached the entire question for convenience)
View attachment 28815

Question 7.c and d (I've attached the entire question for convenience)
View attachment 28816

From the Chapter Review:
Question 1
View attachment 28817

Question 7
View attachment 28818

Thanks again in advance :)
I only have worked solutions for every odd question, here are the ones from the textbook for odd questions:
12.3
12.3 Q7.png

12.4
12.4 Q7.png

Chapter Review

Q1 .png
Q7 .png
 

tito981

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Thanks everyone,

Do guys know how to do these ones as well? They're from the same textbook, Fitzpatrick, Exercise 12.2 Question 7

View attachment 28812
for (a), divide both sides by cosx, then square both sides, use the identity tan^2(x)+1=sec^2(x) to get the equation in terms of tan^2(x), then solve as usual. This method can be applied to all of 7. (note this may give extra solutions plug back in to verify, and also it may miss some solutions, nothing you can do).
 

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