Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ
<h3>How to simplify Trigonometric Functions?</h3>
We want to simplify;
sin²θ + sin²θ cos²θ
Let us factorize out sin²θ to get;
sin²θ(1 + cos²θ)
Now, we know that cos²θ = 1 - sin²θ
Thus;
sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)
⇒ sin²θ(2 - sin²θ)
⇒ 2sin²θ - sin⁴θ
Read more about Trigonometric functions at; brainly.com/question/6904750
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Answer:
D. 54%
Step-by-step explanation:
Find the relative frequency of it landing on heads by dividing 27 by 50, then multiplying it by 100
27/50
= 0.54
0.54(100)
= 54
So, the relative frequency is 54%
The correct answer is D. 54%
Answer:
Area is 20
Perimeter is 24
A= L × W
Step-by-step explanation:
Area is found by multiplying the length by the width, which in this case is 10 × 2 = 20
Perimeter is found by adding all of the sides together, so 2 + 2 + 10 + 10 = 24
A= Legnth × Width or vise versa
16=m-14
16=m-14+14
14+16=m
30=m
Answer:
The range of people who voted for other person = 7266 to 7872
Step-by-step explanation:
A phone survey has a margin error of +/– 4%. The range of number of people who will vote for the other candidate if 87 of 114 people said they would vote for the other person.
We get the percentage from this ,
Percentage = 
= 76.3 %
Border percentages = 72.3 and 80.3% (Since error = 4%)
We have already taken vote of 114 people so remaining = 9804
Lower end = 0.723 
9804 = 7266
Upper end = 0.803 9804 = 7872
Hence the range = 7266 to 7872
