Trigonometric Functions and Graphs Fitzpatrick Questions (1 Viewer)

[frankfurt]

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

 

[beetree1]

Not 100% sure if my answer is correct but:

 

[mikikieko12]

An alternate method:

 

[Drongoski]

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

p/s: 3 values; yours correct.

 

[mikikieko12]

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

I checked the solutions in Pearson textbook. They are correct.

 

[beetree1]

An alternate method:

Damn this is so much cleaner

 

[frankfurt]

Not 100% sure if my answer is correct but:

View attachment 28808

Hi,

yeah that's the solution

thanks!

 

[frankfurt]

Thanks everyone,

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

 

[CoolKids101]

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]

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


Question 8


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


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


From the Chapter Review:
Question 1


Question 7


Thanks again in advance

 

[mikikieko12]

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

Worked Solutions from Textbook:

 

[frankfurt]

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]

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


12.4


Chapter Review

 

[tito981]

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).