Verify the identity: (Picture) Thanks for your time

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vkinard | High School Teacher | (Level 2) Adjunct Educator

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There are often multiple ways to verify trig identities.  Here is an alternative way to approach the problem.  Here is another option:


First substitute for a couple of the reciprocal and quotient identities:


Then we can cancel and combine the smaller fractions:


We can then divide each term in the numerator by the denominator:


We can then simplify each of these fractions:


We can then use one of the quotient identities again:


And finally we will use one of the Pythagorean identities:





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