(1-cos^2(x)) csc^2(x)=1
one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)
we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:
sin^2(x) x 1/sin^2(x) = 1
sin^2(x)/sin^2(x) =1
the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same
so then 1=1 Therefore LHS=RHS
Hope this helps
Answer:
I believe the answer is B
Step-by-step explanation:
Supplementary means they equal 180°. There for out of the answer choices, the most logical would be b. 65°
115+65=180°
Hope this helps!
Answer:
-315 + 100 & -230 + 15
Step-by-step explanation:
For this case we have the following expression:

Rewriting the expression we have:

Then, simplifying and by properties of exponents we have:

Rewriting we have::
Answer: The simplified expression is given by: