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
Rainbow [258]
4 years ago
6

Suppose that sin(θ)=6/10 and θ is in the second quadrant. Use trigonometric identities to find the following quantities exactly.

Mathematics
2 answers:
vfiekz [6]4 years ago
8 0
tan \theta = \frac{sin \theta}{cos \theta} = \frac{3/5}{-4/5} = \frac{3}{5}*\frac{-5}{4} = -\frac{3}{4}

csc \theta = \frac{1}{sin \theta} = \frac{5}{3}  \\ sec \theta = \frac{1}{cos \theta} = -\frac{5}{4}  \\ cot \theta = \frac{1}{tan \theta} = -\frac{4}{3}
8090 [49]4 years ago
6 0
<span>sin(theta) = 6/10 and theta is in the second quadrant. Use trigonometric identities to find the following quantities exactly.
---
sin = 3/5
============= 
(a) cos(theta)
cos = sqrt(1 - sin^2) = -4/5 (negative in Q2)

-----
(b) sin(2theta) =
sin(2t) = 2sin(t)*cos(t) = -24/25 --> Q3
-----
(c) cos(2theta
cos(2t) = sqrt(1 - sin^2(2t)) = -7/25 (negative in Q3)
-----
(d) tan(2theta) = = sin(2t)/cos(2t) = 24/7 (+ in Q3)</span>
You might be interested in
Could someone help me please!?!
crimeas [40]
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:

 a² = b²+c²

 As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:

 b = √(a²-c²) b = √(10²-4²)
 b = 9.16

 With these values, we can find the hypotenuse in the triangle "B":
 x = √b²+c²
 x = √(9.16)²+(4)²
 x = 10

8 0
4 years ago
Someone please help me answer this!!
aivan3 [116]

Answer:

8 units is the answer.

Step-by-step explanation:

Pythagorean theorem can be written as,

d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-9)^2 + (-7-1)^2}\\\\d=\sqrt{(0\\)^2+(-8)^2} \\\\d=\sqrt{64} \\\\d=8

∴ d = 8 units

3 0
3 years ago
Create a matrix that is equal to F+G. The first matrix below is named F and the second matrix below is named G. Name the new mat
Novosadov [1.4K]

Answer:

  see attached

  H31 = -0.2

Step-by-step explanation:

The matrix sum H is the element-by-element sum of corresponding elements of F and G. For example, H31 = F31 +G31 = -4.7 +4.5 = -0.2.

__

For repetitive calculations using the same formula, it is convenient to do them using a spreadsheet.

8 0
3 years ago
The graph shows the relationship between the number of months different students practiced baseball and the number of games they
yaroslaw [1]
DONT GO TO THOSE LINKS
3 0
3 years ago
A scientist estimates that 30% of female bears produce offspring each year. If there are between
Amanda [17]
30

30% of 80 is 24 and 30% of 120 is 36 and 30 is between those numbers
4 0
3 years ago
Other questions:
  • Simplify the expression. (-3 + 6i)(-3 + 5i)
    10·2 answers
  • Amy and Betty run in opposite directions on a circular track, starting at diametrically opposite points. They first meet after A
    15·1 answer
  • How do I write the equation 9x-6y=-72 in slope-intercept form?
    12·1 answer
  • A U.S. nickel has a mass of 5.00 grams. A U.S. penny has a mass of 2.50 grams. What is the mass in kilograms of the coins in a b
    13·1 answer
  • PART A: how many miles per gallon does the car get
    14·1 answer
  • Find angle FGP if angle FGP = x + 8, angle FGH = 100°, and angle PGH =<br> 6x + 8.
    12·1 answer
  • 2x - 5[4 + 3 (x + 2)] = 9​
    11·2 answers
  • What is 565,832 rounded to the nearest hundred thousand​
    8·1 answer
  • (06.01)
    11·1 answer
  • Pam’s monthly food budget is equal to 40% of her monthly rent payment. If her food budget is $200 a month, how much is her rent
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!