2. Verifying Trigonometric Identities
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Recall all of the Reciprocal Identities.
cot u
Reciprocal Identities | ||
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sin u = 1/csc u | cos u = 1/sec u | tan u = 1/cot u |
csc u = 1/sin u | sec u = 1/cos u | cot u = 1/tan u |
Next, let's look for the identity that contains the expression 1tan u.
Reciprocal Identities | ||
---|---|---|
sin u = 1/csc u | cos u = 1/sec u | tan u = 1/cot u |
csc u = 1/sin u | sec u = 1/cos u | cot u = 1/tan u |
According to one of the identities from the table, 1tan u is equal to cot u. With this in mind, let's complete the given identity. 1/tan u = cot u