Answer:
38°
Step-by-step explanation:
Upon proving we will find that:
KM is bisector of
Answer:
See proof below
Step-by-step explanation
cot^2(x) - csc^2(x) = -1
In trigonometry identity
cot^2x = cos²x/sin²x
Csc²x = 1/sin²x
Substitute into the original expression
cos²x/sin²x - 1/sin²x
Find the LCM
(Cos²x-1)/sin²x .... *
Recall that sin²x+cos²x = 1
Sin²x = 1-cos²x
-sin²x = -1+cos²x
-sin²x = cos²x-1 .... **
Substitute ** into *
(Cos²x-1)/sin²x
-sin²x/sin²x
= -1 (RHS)
Therefore cot^2(x) - csc^2(x) = -1 (Proved!)
Answer: 45
Step-by-step explanation:
You got it! The minimum point of a quadratic function is basically the point at "the bottom of the bowl" on the parabola. Looking at the y-axis, we see that f(x)=-8 is the functions minimum, and the corresponding x value is 2.
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