Find the missing value to the nearest hundredth.
tan =38
Find the missing value to the nearest hundredth.
sin=8/32
the question probably says
tanØ = 38 and sinØ = 8/32
a statement like
sin = 8/32 is a "mathematical sin"
sin is a trig operator and needs an argument
that is like saying
√ = 12 , another meaningless statement.
anyway.....
if tanØ = 38 , we also have to know if Ø is in degrees or radians
for degrees:
set you calculator to degree mode
enter:
2nd tan
38
=
you should get 88.49°
do the same for the sine
and repeat if you need radians.
(in radians, if sinØ = 8/32, Ø = .2527 )
To find the missing value to the nearest hundredth in the equation tan = 38, we need to use the inverse tangent function (also known as arctan or atan).
Step 1: Take the inverse tangent of both sides of the equation:
arctan(tan) = arctan(38)
Step 2: Simplify the equation:
tan^(-1)(tan) = arctan(38)
1 = arctan(38)
Step 3: Use a scientific calculator to find the value of arctan(38).
The result is approximately 88.729°.
So, the missing value to the nearest hundredth in the equation tan = 38 is approximately 88.73°.
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To find the missing value to the nearest hundredth in the equation sin = 8/32, we need to use the inverse sine function (also known as arcsin or asin).
Step 1: Take the inverse sine of both sides of the equation:
arcsin(sin) = arcsin(8/32)
Step 2: Simplify the equation:
sin^(-1)(sin) = arcsin(8/32)
1 = arcsin(8/32)
Step 3: Use a scientific calculator to find the value of arcsin(8/32).
The result is approximately 15.00°.
So, the missing value to the nearest hundredth in the equation sin = 8/32 is approximately 15.00°.
To find the missing value in the equation tan = 38, we need to use the inverse tangent function (also known as arctan or tan^(-1)). Here's the step-by-step process:
1. Write down the equation tan = 38.
2. Apply the inverse tangent function to both sides of the equation, yielding arctan(tan) = arctan(38).
This simplifies to tan^(-1)(tan) = tan^(-1)(38).
3. The inverse tangent function and tangent are inverses of each other, so they cancel each other out, resulting in tan^(-1)(tan) = 38.
4. Therefore, the missing value is 38.
Now, for the second question where sin = 8/32, we can find the missing value using the inverse sine function (also known as arcsin or sin^(-1)):
1. Write down the equation sin = 8/32.
2. Apply the inverse sine function to both sides of the equation, yielding arcsin(sin) = arcsin(8/32).
This simplifies to sin^(-1)(sin) = sin^(-1)(8/32).
3. The inverse sine function and sine are inverses of each other, so they cancel each other out, resulting in sin^(-1)(sin) = 8/32.
4. Therefore, the missing value is 8/32, which is equal to 0.25 when simplified to the nearest hundredth.