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:
1,795.5 m³
Step-by-step explanation:
Volume = base area × height
= [½(11+16)×9.5] × 14
1795.5 m³
when you add two negatives its just like regular number, -3+-5=-8 same as 3+5=8
Answer:
both the first one
Step-by-step explanation:
use unit rate
Answer:
You need two number lines to compare two fractions when their denominators are different. The procedure is that you draw to segment lines of the same length but divede each line according to its denominator and then compare the place of the points that mark the fraction numbers, the line that content the marke further away from the start end will be indicate the greater fraction. For example, the fractions 3/4 and 7/10. One line will be divided inot 4 equidistant segments, and the other with 10 equidistant segments. The fraction 3/4 will be represented with 3 marks on the first line, and the fraction 7/10 will be represented with 7 marks on the second line. Now you can compare the size of the two segments marked adn decide which fraction is greater.
GOOD LUCK!
credits to the internet/brainly whom gave me these answers. ; )
