In a given right triangle, If 0 º < x < 90 º and cos x = √ 3 / 2, then sin x = ?
1 answer:
Answer:
1/2
Step-by-step explanation:
The "Pythagorean relation" between trig functions can be used to find the sine.
<h3>Pythagorean relation</h3>The relation between sine and cosine is the identity ...
sin(x)² +cos(x)² = 1
This can be solved for sin(x) in terms of cos(x):
sin(x) = √(1 -cos(x)²)
<h3>Application</h3>For the present case, using the given cosine value, we find ...
sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)
sin(x) = 1/2
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<em>Additional comment</em>
The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...
sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)
A calculator can always be used to verify the result.
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Answer:
The percentage decrease of the number of visitors to Alec's website from February to March is 14.8 %
Step-by-step explanation:
Explanation:
Percent decrease is a measure of percent change, which is the extent to which something loses value.
Step 1:
Find out the difference (decrease) between the number of visitors in march and February
Decrease =number of visitors in Fe bury- Number of vsitors in march
Decrease= 1,586- 1,352
Decrease =234
Step 2:
Divide the decrease by the original number of visitors and multiply the answer by 100.
Percent decrease=
Percent decrease=
Percent decrease=
Percent decrease =14.88