List the 6 reciprocal identities. sin 𝜃 = csc 𝜃 = cos 𝜃 = sec 𝜃 = tan 𝜃 = cot
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Answer

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Step 1

sin 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

csc 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

- sin heta = \frac{1}{csc heta} - csc heta = \frac{1}{sin heta} - cos heta = \frac{1}{sec heta} - sec heta = \frac{1}{cos heta} - tan heta = \frac{1}{cot heta} - cot heta = \frac{1}{tan heta}