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) Correct
11) Each row is equal to 12 when you multiply them together.
12) 24
Step-by-step explanation:
12) You multiply 4*3*2 to get the volume of 24, which is also the number of cubes needed to make the shape.
<u>Please</u><u> give</u><u> brainliest</u><u> if</u><u> I</u><u> helped</u><u>!</u><u> </u><u>:</u><u>)</u>
54 divided by 6 would be 9 meaning he takes 9 quizzes a week. If directly proportional by the end of 7 weeks he would have taken 63 quizzes
(sorry I don't understand your language but, here's my answer)
- a/12 + 2/3(b) = ?
- a = 5, b = -4
- 5/12 + 2/3(-4)
- 5/12 + 2/-12
- 1/4
<h2><u>ANSWER:</u></h2>
Write an inequality for the sentence : More than 75 people attended the basketball game .
Answer : X > 75