Question
Asked Dec 17, 2019
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Verify the identity.
tan(0) + cot(0) = sec(0) csc(0)
Use a Reciprocal Identity to rewrite the expression in terms of sine and cosine as a single rational expression.
sin(0)
cos(0)
tan(0) + cot(0)
%3D
sin(0)
cos(0) sin(0)
Use a Pythagorean Identity to rewrite the expression in terms of a single function, and then simplify.
cos(0) sin(0)
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Verify the identity. tan(0) + cot(0) = sec(0) csc(0) Use a Reciprocal Identity to rewrite the expression in terms of sine and cosine as a single rational expression. sin(0) cos(0) tan(0) + cot(0) %3D sin(0) cos(0) sin(0) Use a Pythagorean Identity to rewrite the expression in terms of a single function, and then simplify. cos(0) sin(0)

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Expert Answer

Step 1

In order to verify the given expression, first solve the right-hand side, which is given below.

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sin e - and cot 0 cose sin e cos e cos O tan 0 + cot 0 tan 0 sin e sin e cose sin? 0+ cos? 0 (sin? e+ cos? 0 = 1) cos 0· sin O cos 0· sin O

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Step 2

Now solve the left-hand side,...

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1 sec 0· cosece and cos ece cos e sec O cos e sin e sin 0 cos 0· sin O

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