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
kykrilka [37]
4 years ago
7

Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang

le is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *
Mathematics
1 answer:
Vladimir [108]4 years ago
3 0

Answer:

cos^2\theta + sin^2\theta = 1

Step-by-step explanation:

Given

(\frac{b}{r})^2  + (\frac{a}{r})^2

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = (\frac{r}{r})^2

Going by the Pythagoras theorem, we can assume the following.

  • a = Opposite
  • b = Adjacent
  • r = Hypothenuse

So, we have:

Sin\theta = \frac{a}{r}

Cos\theta = \frac{b}{r}

Having said that:

The expression can be further simplified as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1

Substitute values for sin and cos

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1 becomes

cos^2\theta + sin^2\theta = 1

You might be interested in
Pls I need the answer for 3 and 4 and it’s very hard
Elodia [21]
#4 is 47, 48, 49

47+48+49=144
4 0
3 years ago
The bike portion of an ironman competition is 112 miles. Your friend says that if you continue to bike at this pace, you will be
Roman55 [17]
We have no clue because you have not said what the speed/pace is. At a speed of 17.23 mph you will bike 112miles in 6.5 hours.
5 0
3 years ago
Pita​ Corporation's management has budgeted the following amounts for its next fiscal​ year: Total fixed expenses $490,000 Selli
Ede4ka [16]

Answer:

let me tell you firstly i am juat writing this

Step-by-step explanation:

for absolutely no rwason whatsoevwr lol

ao ywah get some hwlp from a pro

3 0
3 years ago
What is the measurement of ∠G? Show your work.
san4es73 [151]

Answer:

x = 40

Step-by-step explanation:

The angles add to 180 degrees

30+110 +x = 180

Combine like terms

140 +x = 180

Subtract 140 from each side

140+x-140 =180-140

x = 40

3 0
3 years ago
Read 2 more answers
Working as a team 8 mathletes can solve 20 problems in ten minutes. At this same rate how many mathletes are needed in order to
emmainna [20.7K]
7 is the right answer(please rate 5.0 stars so i can help other people out thanks)
8 0
3 years ago
Read 2 more answers
Other questions:
  • When graphed,a system shows the exact same lines. How many solutions will the system have?
    14·1 answer
  • At the beach 29% of people have red towels and 18% have white towels if the rest have blue ,what percentage of the people at the
    7·2 answers
  • Maggie only wore sandals tracker on two of the days that she trained so from her fitness trackers she verified that on the third
    6·1 answer
  • Write an equation for the nth term of the given geometric sequence. 12, 156, 2028, ..., a
    10·2 answers
  • What is p^m ⋅ p^n equal to? p^m − n p^m + n p^m ⋅ n p^m ÷ n. please show work
    10·1 answer
  • Determine the intercepts of the line that correspond to the following table of values
    8·1 answer
  • Write a linear inequality to represent the information given. The total fees for the high school play are
    6·1 answer
  • Is the fraction 4/5 proper or improper
    9·1 answer
  • Julie was a lifeguard during the summer. She earned a total of $2,176. She was paid $68 per day she worked. How many days did Ju
    14·2 answers
  • PLEASE HELP PLEASE HELP PLEASE
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!