So here is how we are going to prove that (2(tan x - cot x) / (tan^2 x - cot^2 x} = sin (2x). Follow it step by step:
LS = 2(tanx−cotx)
------------------
tan^2−cot^2x
= 2(tanx−cotx)
----------------------
(tanx−cotx)(tanx+cotx)
= 2
-------------------
(tanx+cotx)
= 2
-----------------
Sin2x+cos2x
---------------- sinxcosx
= 2
-------------
1
------------
sinxcosx
= 2sinxcosx
= sin2x
I hope that is the answer that you are looking for. Let me know if you need more help next time. Thanks for posting your question here in brainly!
Answer:



Step-by-step explanation:
We know that sum of angle of triangle adds up to 180°
<u>Finding </u><u>the </u><u>value </u><u>of </u><u>x</u>

Collect like terms
⇒
Move 5 to right hand side and change its sign
⇒
Subtract 5 from 180
⇒
Divide both sides of the equation by 7
⇒
Calculate
⇒
<u>Finding </u><u>the </u><u>value </u><u>of </u><u>(</u><u> </u><u>x </u><u>+</u><u> </u><u>5</u><u> </u><u>)</u><u>°</u>

plug the value of x
⇒
Add the numbers
⇒
<u>Finding </u><u>the </u><u>value </u><u>of </u><u>5</u><u>x</u>

Multiply the numbers
⇒
Hope I helped!
Best regards!!
The neq coordinates would be -8,8 and 8,-8
Answer:
2/3
Step-by-step explanation: