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
adell [148]
3 years ago
5

Given that sin theta = 1/4, 0→theta→π/2, what. what is the exact value of cos 8?​

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0
<h3>Answer: Choice B \frac{\sqrt{15}}{4}</h3>

===========================================================

Work Shown:

Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.

Square both sides of the given equation

\sin \theta = \frac{1}{4}\\\\\sin^2 \theta = \left(\frac{1}{4}\right)^2\\\\\sin^2 \theta = \frac{1}{16}

Then use the pythagorean trig identity to get

\sin^2 \theta + \cos^2 \theta = 1\\\\\cos^2 \theta = 1-\sin^2 \theta\\\\\cos \theta = \sqrt{1-\sin^2 \theta} \ \ \ \text{cosine is positive in Q1}\\\\\cos \theta = \sqrt{1-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16}{16}-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16-1}{16}}\\\\\cos \theta = \sqrt{\frac{15}{16}}\\\\\cos \theta = \frac{\sqrt{15}}{\sqrt{16}}\\\\\cos \theta = \frac{\sqrt{15}}{4}\\\\

You might be interested in
When does a limit exist.
kykrilka [37]

Answer:

In order for a limit to exist, the function has to approach a particular value. In the case shown above, the arrows on the function indicate that the the function becomes infinitely large. Since the function doesn't approach a particular value, the limit does not exist.

Step-by-step explanation:

6 0
2 years ago
Can anyone solve the rest pls
Juliette [100K]
X=-1 y=-1, x=1 y=5, x=3 y=11
5 0
3 years ago
Read 2 more answers
How many bags of each cookie did Stephanie sell? How many total bags of cookies did she sell
____ [38]
Numbers for the equation
4 0
3 years ago
Help me I’m. It big brain
umka21 [38]

Answer:

A 35

Step-by-step explanation:

75-40=35

4 0
3 years ago
Read 2 more answers
What principal will amount to $3000 if invested at 3% interest compounded
MakcuM [25]

Answer: $2227.41

Step-by-step explanation:

A = P(1 + r/n)^nt

4 0
3 years ago
Other questions:
  • 2. An investment company pays 9% compounded semiannually. You want to have $8,000 in the future. How much should you deposit now
    13·1 answer
  • Which of the following solution graphs represent a "UNION"
    11·2 answers
  • Polygons QRST and Q’R’S’T’ are shown on the coordinate grid: A coordinate plane with two polygons is shown. Polygon QRST has ver
    10·1 answer
  • How are a ruler, a yardstick, and a measuring tape the same? How are they different?
    12·2 answers
  • Hey Can somone please help meeee
    8·1 answer
  • Please help me with this
    10·2 answers
  • There are 20 girls
    10·1 answer
  • Find the mean: 17.4 mm, 20.3 mm, 84.1 mm, 31.2 mm, 53.7 mm, 11.7 mm
    11·1 answer
  • Which of these is a correct step in constructing congruent angles?
    7·1 answer
  • 5. Which ordered-pair is a solution of the equation y = - 9x + 4
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!