Prove the following identity.csc cot esin222 cscWe begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then write the compound fraction as a simple fraction,and use a Half-Angle Formula to simplify.csc cot esin esin2 csc e2sin esin e2.sin e2esin2

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Asked Oct 24, 2019

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Prove the following identity.
csc cot e
sin2
2
2 csc
We begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then write the compound fraction as a simple fraction,
and use a Half-Angle Formula to simplify.
csc cot e
sin e
sin
2 csc e
2
sin e
sin e
2.
sin e
2
e
sin2
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Prove the following identity. csc cot e sin2 2 2 csc We begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then write the compound fraction as a simple fraction, and use a Half-Angle Formula to simplify. csc cot e sin e sin 2 csc e 2 sin e sin e 2. sin e 2 e sin2

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Step 1

We begin by writing right hand side of equation in terms of sines and cosines by using reciprocal and ratio identities

1
cos e
csc0-cot sin 0 sin0
1
2
sin e
2 csce
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1 cos e csc0-cot sin 0 sin0 1 2 sin e 2 csce

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Step 2

On simplifying ...

1- cose
csc0-cot e
1-cose sin e
sin
2
sin e
2 csce
2
sin e
1 cos e
2
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1- cose csc0-cot e 1-cose sin e sin 2 sin e 2 csce 2 sin e 1 cos e 2

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Math

Trigonometry

Trigonometric Ratios