Opposite: 9√3)
Adjacent: 9
Hypotenuse: 18
Sin Ө = ?
Cos Ө = ?
Tan Ө = ?
Csc Ө = ?
Sec Ө = ?
Cot Ө = ?
You are given a rectangular triangle by
its side lengths.
This is easily checked by confirming
18^2=9^2 (9*sqrt(3))^2
Let's abbreviate:
Opposite=O, Adjacent=A and Hypotenuse=H
Then
sin(theta)=O/H
cos(theta)=A/H
tan(theta)=O/A
csc(theta)=1/sin(theta)=H/O
sec(theta)=1/cos(theta)=H/A
cot(theta)=1/tan(theta)=A/O
Now that you have exact definitions,
you can plug in values to find the results.
Hope it helps.
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Answers & Comments
Verified answer
You are given a rectangular triangle by
its side lengths.
This is easily checked by confirming
18^2=9^2 (9*sqrt(3))^2
Let's abbreviate:
Opposite=O, Adjacent=A and Hypotenuse=H
Then
sin(theta)=O/H
cos(theta)=A/H
tan(theta)=O/A
csc(theta)=1/sin(theta)=H/O
sec(theta)=1/cos(theta)=H/A
cot(theta)=1/tan(theta)=A/O
Now that you have exact definitions,
you can plug in values to find the results.
Hope it helps.