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
ZanzabumX [31]
2 years ago
15

Cos (theta) = sqrt2/2, and 3pi/2

Mathematics
2 answers:
dybincka [34]2 years ago
7 0

Answer:

sin theta= -sqrt2/2

tan theta=-1

Step-by-step explanation:

I just did it.

lora16 [44]2 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒sinx = ± \sqrt{1-cos^2x} and

tanx = \frac{sinx}{cosx}

Given

cosΘ = \frac{\sqrt{2} }{2}, then

sinΘ = ± \sqrt{1-(\frac{\sqrt{2} }{2})^2 }

Since \frac{3\pi }{2} < Θ < 2π ← fourth quadrant

Then sinΘ and tanΘ are both negative

sinΘ = - \sqrt{1-\frac{1}{2} }

       = - \frac{1}{\sqrt{2} } = - \frac{\sqrt{2} }{2}

----------------------------------------------------------------------------

tanΘ = \frac{-\sqrt{2} }{2} ÷ \frac{\sqrt{2} }{2}

       = - \frac{\sqrt{2} }{2} × \frac{2}{\sqrt{2} } = - 1

You might be interested in
50 points for answer
jarptica [38.1K]

Answer:

Step-by-step explanation:

2/3 30/60 30

5 0
3 years ago
Read 2 more answers
What is the best name of the solid that can be formed by this net?
Novosadov [1.4K]

Answer:I’m doing this right now do u know the answer?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15
Keith_Richards [23]

Answer: he used incorrect time ratio

He incorrectly concluded that she is not running fast enough

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
B(n)=4-6(n-1) find the fourth term
kompoz [17]

Answer:

b(4) = -14

Step-by-step explanation:

b(n)=4-6(n-1)

let n=4

b(4) = 4 - 6(4-1)

b(4) = 4-6*3

b(4) = 4-18

b(4) = -14

6 0
3 years ago
From 86 books to 150 books
Mademuasel [1]
150 books-86 books= 64 books.

We originally have 86 books, so the percent of increase is:
64 books/ 86 books* 100%= 74.42%

The percent of increase is 74.42%~
8 0
3 years ago
Other questions:
  • What is a correct congruence statement for the triangles shown? Enter your answer in the box. ​ △ ​ ​ ≅△PFX
    8·2 answers
  • The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.0 minutes and
    10·1 answer
  • 2+2<br> Please help very hard
    11·1 answer
  • Rewrite to make true: There are five terms in the series (attached)
    7·1 answer
  • The width of the rectangle shown below is 8 inches (in.). The length is 3 feet (ft.).
    13·2 answers
  • The graph of an equation with a negative discriminant always has which characteristic?
    15·1 answer
  • Carlos harvests cassavas at a constant rate. He needs 353535 minutes to harvest a total of 151515 cassavas.
    14·2 answers
  • Find the volume of the composite solid shown below, Round answer to the nearest hundredth.
    11·1 answer
  • A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers
    9·1 answer
  • Help quick pleaseeee
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!