Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
Answer:
(10, 8) is the distance.
Step-by-step explanation:
The x's are 10 points away from each other and y's are 8 points away from each other.
By the way, there is no second picture.
Sorry if I'm wrong. I might be more helpful if you upload the second picture.
It is impossible to determine the relationship between x and y from the question about the triangle. Hence, the correct option is D. This is because none of the sides are labelled x or y from the information provided.
<h3>What are the relationships that exist between the sides of a triangle?</h3>
It is important to note that:
The side with the highest length is the side that is opposite the biggest angle.
It is also important to note that the angle that is least will always be opposite the side that is smallest.
Learn more about triangles at:
brainly.com/question/17335144
#SPJ1
Answer is
U= (-2,2)
V=(-2,4)
W= (-4,3)
Step by step
Find points for the triangle.
Using the rule for reflection across y axis.
The rule for a reflection over the y -axis is (x,y)→(−x,y)
U (2,2) ➡️ (-2,2)
V (2,4) ➡️ (-2,4)
W (4,3) ➡️ (-4,3)