Answer:
sqrt(2)/2
Step-by-step explanation:
Given tan(x)=2-cot(x), find sin(x).
Rewrite in terms of sine and cosine:
sin(x)/cos(x)=2-cos(x)/sin(x)
Multiply both sides by cos(x)sin(x):
sin^2(x)=2sin(x)cos(x)-cos^2(x)
Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:
sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))
Distribute:
sin^2(x)=2sin(x)cos(x)-1+sin^2(x)
Subtracting sin^2(x) on both sides:
0=2sin(x)cos(x)-1
Add 1 on both sides:
1=2sin(x)cos(x)
Use identity sin(2x)=2sin(x)cos(x) to rewrite right:
1=sin(2x)
Since sin(pi/2)=1, then 2x=pi/2.
Dividing both sides by 2 gives x=pi/4.
So sin(pi/4)=sqrt(2)/2
Given:
The number is 
.
To find:
The location of the given number on a number line.
Solution:
We have,
Here 
, so 
.
Mark 8 equidistant small lines between 0 to 1 on the number line to divide the number line in 9 equal parts. Then, the 5th mark represent the value .
The location of number on a number line is shown below.
Answer: What musickp8809 said
Step-by-step explanation: Give him brainliest, bc that's what i want for christmas.
Tan is opposite divided by adjacent and then square root the division answer
Answer:
78
Step-by-step explanation:
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