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Find the value of each trigonometric ratio:

[tex]\[
\sin \left(30^{\circ}\right)
\][/tex]

[tex]\[
\sin \left(60^{\circ}\right)
\][/tex]

[tex]\[
\cos \left(60^{\circ}\right)
\][/tex]

[tex]\[
\tan \left(60^{\circ}\right)
\][/tex]

[tex]\[
\cos \left(30^{\circ}\right)
\][/tex]

[tex]\[
\tan \left(30^{\circ}\right)
\][/tex]

[tex]\[
\tan \left(60^{\circ}\right)
\][/tex]



Answer :

GinnyAnswer
Let's find the values of the trigonometric ratios for the specified angles.

### [tex]\(\sin \left(30^{\circ}\right)\)[/tex]
[tex]\[ \sin \left(30^{\circ}\right) = 0.5 \][/tex]

### [tex]\(\sin \left(60^{\circ}\right)\)[/tex]
[tex]\[ \sin \left(60^{\circ}\right) \approx 0.8660 \][/tex]

### [tex]\(\cos \left(60^{\circ}\right)\)[/tex]
[tex]\[ \cos \left(60^{\circ}\right) = 0.5 \][/tex]

### [tex]\(\tan \left(60^{\circ}\right)\)[/tex]
[tex]\[ \tan \left(60^{\circ}\right) \approx 1.7321 \][/tex]

### [tex]\(\cos \left(30^{\circ}\right)\)[/tex]
[tex]\[ \cos \left(30^{\circ}\right) \approx 0.8660 \][/tex]

### [tex]\(\tan \left(30^{\circ}\right)\)[/tex]
[tex]\[ \tan \left(30^{\circ}\right) \approx 0.5774 \][/tex]

### Summary of trigonometric ratios:
1. [tex]\(\sin \left(30^{\circ}\right) = 0.5\)[/tex]
2. [tex]\(\sin \left(60^{\circ}\right) \approx 0.8660\)[/tex]
3. [tex]\(\cos \left(60^{\circ}\right) = 0.5\)[/tex]
4. [tex]\(\tan \left(60^{\circ}\right) \approx 1.7321\)[/tex]
5. [tex]\(\cos \left(30^{\circ}\right) \approx 0.8660\)[/tex]
6. [tex]\(\tan \left(30^{\circ}\right) \approx 0.5774\)[/tex]

These are the trigonometric ratio values you sought.

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