SOLUTION: How do I verify this identity? (tan of theta + cotangent of theta) ^2 = sec ^2 of theta + csc ^ 2 of theta if you don't mind, please help show me the steps thank you

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Question 916899: How do I verify this identity?
(tan of theta + cotangent of theta) ^2 = sec ^2 of theta + csc ^ 2 of theta

if you don't mind, please help show me the steps
thank you

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
ow do I verify this identity?
(tan of theta + cotangent of theta) ^2 = sec ^2 of theta + csc ^ 2 of theta
***
use x for theta

start with left side:

tanx*cot=1
using pythagorean identities:
tan^2(x)=sec^2(x)-1
cot^2(x)=csc^2(x)-1

verified: left side = right side

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