Search
Ask a question
0 0

Sin^2 x question

 
How do I prove that sin^2  x(1 + cot^2  x) = 1
 
 
thanks
Tutors, please sign in to answer this question.

1 Answer

sin2(x)[1 + cot2(x)] = 1
 
Identity: cot(x) = cos(x)/sin(x)
 
sin2(x)[1 + cos2(x)/sin2(x)] = 1
 
Distribute the sin2(x) across the terms in the brackets:
 
sin2(x) + cos2(x) = 1
 
which is a Pythagorean Identity.