1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ch4aika [34]
3 years ago
12

Rewrite each expression in terms of sine and cosine only.

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

1. Cosθ / SineθCosθ

2. Sineθ / Cos²θSineθ

3. Cosθ / Sineθ

4. Cos²θ + Sin²θ – Sin²θ

Step-by-step explanation:

1. SecθCotθ

Recall

Sec θ = 1/Cos θ

Cot θ = 1/Tan θ

But Tan θ = Sine θ / Cos θ

Thus,

Cot θ = 1 ÷ Sine θ / Cos θ

Cot θ = 1 × Cos θ / Sine θ

Cot θ = Cos θ / Sine θ

Therefore,

SecθCotθ = 1/Cos θ × Cos θ / Sine θ

SecθCotθ = Cosθ / SineθCosθ

2. SecθTanθCscθ

Recall

Sec θ = 1/Cos θ

Tan θ = Sine θ / Cos θ

Csc θ = 1/Sine θ

Thus,

SecθTanθCscθ =

1/Cosθ × Sineθ/Cosθ × 1/Sineθ

= Sineθ / Cos²θSineθ

3. Cscθ/Secθ

Recall

Csc θ = 1/Sine θ

Sec θ = 1/Cos θ

Thus,

Cscθ/Secθ = 1/Sine θ ÷ 1/Cos θ

= 1/Sine θ × Cos θ

= Cosθ / Sineθ

4. Cosθ / Secθ

Recall

Sec θ = 1/Cos θ

Cosθ / Secθ = Cosθ ÷ 1/Cosθ

= Cosθ × Cosθ

= Cos²θ

Recall

Cos²θ + Sin²θ = 1

Cos²θ = 1 – Sin²θ

But

1 = Cos²θ + Sin²θ

Thus,

Cos²θ = Cos²θ + Sin²θ – Sin²θ

Therefore,

Cosθ / Secθ = Cos²θ + Sin²θ – Sin²θ

You might be interested in
Find the absolute value. The absolute value of 5 is​
Luba_88 [7]

Answer:

5

Step-by-step explanation:

you need to look at how far it is from a m=number line to find the absolute value

4 0
3 years ago
Read 2 more answers
Pls help i need this done as quick as possible
Anvisha [2.4K]

Answer:

Infinite Solutions.

Step-by-step explanation:

m+7=3+m+4

Subtract m from both sides:

m+7-m=3+m+4-m

7=3+4

7=7

Both sides are equal.

This means that the value of m does not affect the end result of 7 = 7, which is true. Thus, there are infinite solutions as any value of m will still make the equation true.

4 0
3 years ago
Write a function to describe the following scenario.
Tanya [424]

Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Step-by-step explanation:

A Taxi driver charges a flat rate = 7.25 dollars

taxi fare for 1 mile = 0.65 dollars

Suppose we consider Total money taxi driver can spend = 10 dollars

Let taxi driver travel x miles

Total charges = flat rate charge + taxi fare for each mile(distance) travelled

Find the value y = [?] + [?]x

suppose these two question marks indicate z1,z2

replace with y=10 and z1=1.75 and z2=0.65 values

Then y = [z1] + [z2]x

10 = 1.75 + 0.65(x)

0.65(x) = 10 - 1.75

0.65(x)= 8.25

x = 8.25/0.65

x = 12.7 miles

If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Learn about more information https://brainly.in/question/33655852

#SPJ9

4 0
2 years ago
When a person purchases stock in a company, he is in reality loaning money to the company. True False
Alik [6]

I think it is False

God Bless

4 0
3 years ago
Read 2 more answers
Explain how you would show 135% on a 10-by-10 grid.Then use the grids below to show 135%. HELP QUICK!
Alja [10]
Just color one intire grid and thirty five units on the other
5 0
3 years ago
Other questions:
  • The table shows the first 4 terms of the patterns.
    10·2 answers
  • Your paycheck each week is $500.00. If you want to save $2000 in one year, how much should you set aside from each paycheck?
    11·1 answer
  • Need help with this math problem
    15·1 answer
  • I need the answer key to all they questions. The book is Digits. Lesson 11 Unit 5 Angle- Angle Triangle Similarity. Who can help
    9·1 answer
  • VIIIe in the standard (x,y) coordmate pralit nas
    12·1 answer
  • What is the answer?<br><br> Y= -x-4 <br> Y=x
    11·1 answer
  • Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
    13·1 answer
  • 96 = 12d<br><br> A. 108 B. 84 C. 8 D. −1 8
    10·2 answers
  • Help meeeeee!!! please please please lol 1- 11
    12·1 answer
  • Zero is
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!