SOLUTION: Verify the following identity: tan 𝑥 + cot 𝑥 ___________ sec 𝑥 csc 𝑥 = 1

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Question 1011224: Verify the following identity:
tan 𝑥 + cot 𝑥
____________
sec 𝑥 csc 𝑥
= 1
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(sin x/cos x)+(cos x/sin x)= (sin x*sin x+ cos x*cos x)/cos x* sin x. The numerator is sin^2x+cos^2x=1
1/(cos x*sin x
=====
The bottom is [1/cos x]
That is 1/(cos x* sin x) which is the numerator. Therefore it equals 1.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Verify the following identity:
(tan + cot)/(sec*csc) = 1
(tan + cot)*sin*cos = 1
(sin/cos + cos/sin)*sin*cos = 1
sin^2 + cos^2 = 1
QED