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.
To determine how many times larger the peach got, you will divide the new diameter by the original diameter length.
188869/98 = 1927.2
The new diameter is approximately 1927 times longer.
To convert this to scientific notation, move the decimal point from the end (on the right) to between the 1 and the 9 to get 1.927.
Then count the number of decimal places you moved to get there, because this represents how many groups of 10 you adjusted your place value by and then becomes your exponent in scientific notation.
1.927 x 10^3 times is the answer in scientific notation.
Answer:
<h2>c. (0, 2)</h2>
Step-by-step explanation:
Answer:
9 square kilometers
Step-by-step explanation:
Let's round the width to 2.0 kilometers, and round the length to 4.5 kilometers.
We know that area is length times width, so
A = lw
A = 2.0*4.5
<u>A = 9.0 square kilometers</u>
If we do this on the calculator, it's around 9.36 square kilometers, so our estimate was good.
Mixture B is the right answer
