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
stiks02 [169]
3 years ago
5

Simplify the expression 1/√(1-cos^2 x) . Remember cos x= 1/csc x

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0
First, we are going to use the Pythagorean identity: sin^2(x)+cos^2(x)=1 to rewrite our expression. Solving for sin^2(x) in our Pythagorean identity  we get that sin^2(x)=1-cos^2(x), so we can rewrite our expression as follows:
\frac{1}{ \sqrt{1-cos^2(x)} } = \frac{1}{ \sqrt{sin^2(x)} } = \frac{1}{sin(x)}

Next, we are going to use the trig identity: csc(x)= \frac{1}{sin(x)} to completely simplify our expression:
\frac{1}{sin(x)} =csc(x)

We can conclude that \frac{1}{ \sqrt{1-cos^2(x)} }=csc(x)
You might be interested in
If x = (7+4√3), then the value of x^2 + 1/x^2 is​
Blizzard [7]

Answer:

194.

Step-by-step explanation:

x = (7+4√3)

x^2 =  x = (7+4√3)^2

= 49 + 48 + 56√3

= 97 + 56√3

x^2 + 1/x^2 =    97 + 56√3 + 1/(97 + 56√3)

= 194.

5 0
2 years ago
If 3 pounds of chocolate cost $25.50 how many pounds can you buy for $42.50
MrMuchimi
To solve this, write a proportion of Pounds to Cost:
Pounds:     3         x
     Cost: 25.50   42.50

Cross multiply 3 and 42.50, this gives you 127.5
Then, divide by 25.5
This gives you 5.
You can buy 5 pounds with $42.50
8 0
2 years ago
Read 2 more answers
Could anybody solve this by any chance? Thanks
Amiraneli [1.4K]

Answer:

y=x÷20x19

Step-by-step explanation:

x÷20=5% then 5%x19=95% basically 5% off

3 0
2 years ago
Can someone please help with this problem
JulsSmile [24]

Answer:

f(x)=-3(x+2)^2-2

Step-by-step explanation: the the FX graph the -3 in my equation represents the decrease(for being negative) in the graph, the positive 2 represents the x axis if that number is positive the negative 3 is going to change the x axis then will end up being negative which is why the x starts off in negative 2, the last number represents the y axis if the y axis is negative 2 the y will start off at -2

8 0
3 years ago
BD is a diameter of circle Q. If M_ACB=30°, what is M<DBA?
Papessa [141]
I also agree with answer C
8 0
3 years ago
Other questions:
  • 7. solve. 3x + 3 = 21 (1 point)
    7·2 answers
  • Solve for x: one over eight (8x + 15) = 24
    5·2 answers
  • Suppose f(x) = (5 – x)^3 and, g(x) = a + x^2, and f(g(x)) = (1 – x^2)^3. What is the value of a?
    15·2 answers
  • What is the common difference of the arithmetic
    10·1 answer
  • Select the correct answer. Solve the equation for x in terms of c. 2/3(cx + 1/2) - 1/4 = 5/2​
    13·1 answer
  • Can someone help me please
    10·1 answer
  • For the triangle below, what is the measure of Z?
    6·1 answer
  • 85% of 16,000,000 people in the Netherlands own a bike, and most of them ride every day. Which equation would you use to find ho
    6·1 answer
  • At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 p
    5·1 answer
  • What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!