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
scoundrel [369]
4 years ago
8

If sin x=2/9,x, in quadrant i, then find(without findingx): sin(2x), cos(2x), tan(2x)

Mathematics
1 answer:
Sergio039 [100]4 years ago
8 0
We have that
<span>sin x=2/9

we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)

Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43

Sin 2x=0.43
so
cos² 2x=1-sin² 2x---------> 1-[0.43]²-----> 1-[0.1878]----> 0.81
cos² 2x=0.81-----------> cos 2x=0.9

tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48

the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48


You might be interested in
Use a calculator to find the trigonometric ratio to four decima place tan 23​
Aneli [31]

Answer:

=0.4245 (4dp)

Step-by-step explanation:

tan(23)=0.4244748162

=0.4245 (4dp)

I hope this helps!

4 0
4 years ago
7+3 to the second power+(12-8) divided by 2x 4 is
cupoosta [38]

\bf \stackrel{\mathbb{P~E~M~D~A~S}}{7+3^2+(12-8)\div 2\times 4}\implies 7+3^2+(\stackrel{\downarrow }{4})\div 2\times 4\implies 7+\stackrel{\downarrow }{9}+(4)\div 2\times 4 \\\\\\ 7+9+\stackrel{\downarrow }{2}\times 4\implies 7+9+\stackrel{\downarrow }{8}\implies \stackrel{\downarrow }{16}+8\implies 24

5 0
3 years ago
Do these basic math problems please
Brut [27]

Answer:

.

Step-by-step explanation:

a.) 72 ÷ 8 × 9 = 81 (we divide 72 by 8 first then multiply the result with 9)

b.) -72 ÷ 8 × 9 = -81 (it's same with a only differ by negative sign)

c.) 72 ÷ (-8) × 9 = -81 (dividing 72 by -8 will give us -9 and multiplying -9 by -9 will give the result of -81)

d.) 72 ÷ 8 × (-9) = -81 (divide 72 by 8 and it will be 9, mutliply it by -9 and again it will give -81)

e.) -72 ÷ 8 × (-9) = 81 (divide -72 by 8 and it will be -9 multiplying it by -9 will give a positive 81 since two negative signed numbers multiplied or divided gives positive result)

8 0
3 years ago
Read 2 more answers
Double a number is equal to the number decreased by five?
kotegsom [21]
2n=n-5  subtract n from both sides

n=-5

check...

2(-5)=(-5)-5

-10=-10
6 0
3 years ago
Find the measure of the missing angle *
lubasha [3.4K]

Answer:

21°

Step-by-step explanation:

we know that every single triangle has to equal 180°

we have all 3 angles 90° 34° 35° which equal 159°

so we take 180°-159° and your answer is 21°

6 0
3 years ago
Other questions:
  • A hiker at the top of a mountain spots his car back in the parking lot at the
    8·1 answer
  • The diameter of a circle is 4 meters. What is the circle's circumference?
    12·1 answer
  • What is the slope of the line whose equation is 12 = 4x – 6y?
    9·2 answers
  • 15-8. mixed number fractious
    10·1 answer
  • Ervin bowled 7 games last weekend. his scores are: 155, 165, 138, 172, 127, 193, 142. what is the range of ervin's scores?
    12·1 answer
  • Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)​
    11·1 answer
  • PLEASE HELP ITS DUE IN A FEW MINUTES
    13·2 answers
  • Can someone help me with how to do this. Please show work and don't just put the answer! Thanks
    14·1 answer
  • (200-50) + 50 * 2 in hurry
    13·2 answers
  • A rectangular lot whose perimeter is 300 ft is fenced along three sides. An expensive fencing along the​ lot's length cost $30 p
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!