Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Petermine all solutions for
0 <= t <= 4

2pi cos(pi t)+2pi cos(2pi t)=0

Petermine all solutions for $0 \leqslant t \leqslant 4$ $\newline$ $2 \pi \cos (\pi t)+2 \pi \cos (2 \pi t)=0$

View step-by-step help

View step-by-step help

Solve multi-step inequalities

Full solution

Q. Petermine all solutions for

0 \leqslant t \leqslant 4

\newline

2 \pi \cos (\pi t)+2 \pi \cos (2 \pi t)=0

Isolate Cosine Term: Isolate one of the cosine terms. $\newline$ $2\pi \cos(\pi t) + 2\pi \cos(2\pi t) = 0$ $\newline$ $2\pi \cos(\pi t) = -2\pi \cos(2\pi t)$ $\newline$ Divide both sides by $2\pi$ . $\newline$ $\cos(\pi t) = -\cos(2\pi t)$
Apply Double Angle Identity: Use the double angle identity for cosine. $\newline$ $\cos(\pi t) = -\cos(2\pi t)$ $\newline$ $\cos(\pi t) = -1 + 2\sin^2(\pi t)$

More problems from Solve multi-step inequalities

Question

w

\newline

\frac{w}{-1} + 7 > 9

\newline

Posted 2 months ago

Question

u

\newline

6.4u < 3.84 + 6.8u

\newline

\newline

Write your answer with

u

first, followed by an inequality symbol.

\newline

\newline

Posted 2 months ago

Question

t

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

12t - 2 < -5t + 36

Posted 2 months ago

Question

m

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

8m + 95 < -87m + 5

Posted 4 months ago

Question

r

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

35r-21 < -35r+19

Posted 4 months ago

Question

x

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

54x + 64 \geq 49x + 59

Posted 4 months ago

Question

w

.\ Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

53w+13 < 56w+16

Posted 4 months ago

Question

p

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-7p - 4 > 26p - 94

Posted 4 months ago

Question

d

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-23d + 81 \leq -98d + 1

Posted 4 months ago

Question

b

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

30b + 53 \geq 18b - 83

Posted 4 months ago