The angle is arctan(3/4) => sin(2t) = sin(2arctan(3/4)) =
2sin(arctan(3/4))cos(arctan(3/4))
Let z = arctan(3/4) => tan(z) = 3/4
2sin(arctan(3/4))cos(arctan(3/4)) = 2sin(z)cos(z) = 2(3/5)(4/5) = 24/25
<span>cos(2t) = cos^2(t) - sin^2(t) = cos^2(z) - sin^2(z) = (4/5)^2 - (3/5)^2 = (16 - 9)/25
= 7/25
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Answer:
-7
Step-by-step explanation:
2-3(3)=-7
Answer: 5¹ + 5² + 5³, 130 students
<u>Step-by-step explanation:</u>
Monday: 1 1 1 1 1 = 5 ⇒ 5¹
+ Tuesday: 1(5) 1(5) 1(5) 1(5) 1(5) = + 25 ⇒ 5²
+ Wednesday:5(5) 5(5) 5(5) 5(5) 5(5) = <u>+125 </u>⇒ 5³
130
Extra Credit: How many students will know the rumor on Thursday? 5¹ + 5² + 5³ + 5⁴
to be exact 1:05 p.m is the next time it will happen
Answer:
The total number of books is 1020.
Step-by-step explanation:
Denote the books by their first letter.
From the provided information:
Compute the expression of <em>T</em> as follows:
Compute the value of <em>C</em> in terms of <em>A</em>:
Compute the value of <em>A</em> as follows:
Use expressions (i) and (ii):
Compute the value of <em>T</em> as follows:
Thus, the total number of books is 1020.
