List the 6 reciprocal identities. sin ๐œƒ = csc ๐œƒ = cos ๐œƒ = sec ๐œƒ = tan ๐œƒ = cot
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Answer

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Step 1

sinheta=1cschetasin heta = \frac{1}{csc heta}
The first reciprocal identity is: Explanation: The reciprocal of the cosecant of an angle is the sine of that angle.

Step 2

cscheta=1sinhetacsc heta = \frac{1}{sin heta}
The second reciprocal identity is: Explanation: The reciprocal of the sine of an angle is the cosecant of that angle.

Final Answer

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sinheta=1cschetasin heta = \frac{1}{csc heta}
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cscheta=1sinhetacsc heta = \frac{1}{sin heta}
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cosheta=1sechetacos heta = \frac{1}{sec heta}
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secheta=1coshetasec heta = \frac{1}{cos heta}
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tanheta=1cothetatan heta = \frac{1}{cot heta}
- cot heta = \frac{1}{tan heta}