SOLUTION: prove the identity
cos theta sec theta/cot theta = tan theta
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Question 105991This question is from textbook Precalculus
: prove the identity
cos theta sec theta/cot theta = tan theta
This question is from textbook Precalculus
Found 2 solutions by edjones, chitra:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
cos theta sec theta/cot theta = tan theta
I will change theta to x for the sake of simplicity.
.
(cos(x)*1/cos(x))*sin(x)/cos(x)=sin(x)/cos(x)=tan(x)
Ed
Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
Here i'm representing theta as x since writing theta everytime would be a tedious task.
So the given problem can be written as:
= tan x
We know that Cos and Sec are reciprocal of each other. And also tan and cot are also reciprocate of each other. That is
And
so using the above in the given expression, we get:
==>
The cos gets cancelled and we remain with
so that is nothing but tan x
hence the solution.
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