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
sdas [7]
3 years ago
7

cos theta = 4/5, 0˚< theta < 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta

Mathematics
2 answers:
NikAS [45]3 years ago
5 0
First calculate \sin\theta.

\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\&#10;\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}
yarga [219]3 years ago
5 0

Answer:

D edge

Step-by-step explanation:

You might be interested in
What percent of 82 is 12?
RUDIKE [14]
100(12 / 82) = 14.6% approximately.
8 0
3 years ago
How do you find the answer
KengaRu [80]
You need to measure the angles wich means that u use a protractor if the angle is 90 degrees is a straight angle if it is below 90 degrees is acute and if it is above 90 degrees it's obtuse

6 0
3 years ago
Help me do examples for a function and a non function
bekas [8.4K]

Answer:

{(1,2) (3,4) (5,6)} and {(1,2) (1,4) (5,6)}

Step-by-step explanation:

you really want to think of a function as a vending machine. if you press B12 on a vending machine because thats where the chips are, only the chips should come out. in a function, the input value aka x (B12, what youre putting in) should only have one output value aka y, (the chips)

an example of a function would be {(1,2) (3,4) (5,6)}

an important thing to remember is that one output value can belong to multiple input values. there can be chips (output) in both B12 and C12 (inputs) BUT as i said before, there CANNOT be two outputs for one input. B12 cannot give you both chips and a drink.

using this, another example of a function would be {(1,2) (3,2) (5,2)}

an example of an non function would be {(1,2) (1,4) (5,6)} because x, the input value, has multiple output values which is not possible. the output of 1 can not be 2 and 4 at the same time which we can see in the (x,y) coordinates.

4 0
2 years ago
Ms. Lopez fried 60 gorditas for the 7th and 8th grade students in Ms.
seraphim [82]

Answer:

3 each

Step-by-step explanation:

60 divided by 20

6 0
3 years ago
Read 2 more answers
Please Help! I'll give you brainlest​
Leni [432]

Answer:

2. 91/12 or 7+7/12

3. 3+14/27

4. 35 / 192

my answers were all wrong (idk how) the working isnt there, but these are right 100%, when you divide fractions you multiply by the reciprocal

5 0
3 years ago
Read 2 more answers
Other questions:
  • Five years ago Kate was 5 times as old as her son. In 5 years her age will be 8 less than three times her son’s age at that time
    14·1 answer
  • 475 marked down to 15%
    13·1 answer
  • Can 927/100 be simplified
    11·1 answer
  • Help will be appreciated !
    12·1 answer
  • Simplify <br> 2(10) + 2(x – 4)
    8·2 answers
  • Please help I'll give you brainliest and a lot of points
    9·1 answer
  • Two parallel lines are cut by a transversal. What is the measure of 28?
    14·2 answers
  • 140% of 60. can someone explain????​
    7·2 answers
  • I have to pass pls help
    12·1 answer
  • the LSRL after an exponential transformation is lof y=0.986 + 3.149x. what is the exponential form of the regression
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!