Find all exact solutions on the interval 0 ≤ x < 2π.

Mathematics

1 answer:

masya89 [10]3 years ago

3 0

Answer:

View Image

x = π/6, 5π/6, 7π/6, 11π/6

Step-by-step explanation:

The only things you need to know are 2 things:

1.) $csc^2(x)=(csc(x))^2$ , the exponent of trig functions are written in the middle

2.) $csc(x)=\frac{1}{sin(x)}$ , csc() is just the inverse of sin()

You might be interested in

Need help!!!!!!!! HURRYYYY!!!!!!!!!

svetoff [14.1K]

Answer:

the answer is 168

Step-by-step explanation:

you multiply with by length and you get 168.

7 0

3 years ago

Read 2 more answers

-0.38 written as a fraction the 8 is a repeating decimal

Simora [160]

Answer:

$\frac{-7}{18}$

Step-by-step explanation:

The line in between the numerator and denominator serves as a division sign so, -7 divided by 18 equals -0.38 with the 8 repeating

8 0

3 years ago

You make $25000 a year, and you get a 10% raise. Your new salary is $____ The next year you get a 10% cut. Your new salary is $_

gtnhenbr [62]

Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form): $\$25000 \times 0.1=\$2500$ . $2500 is the 10% raise.

Next, to find your first new salary, add $25000 and $2500 together: $\$25000+\$2500=\$27500$ . $27500 is your new salary after the 10% raise.

Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000. $\$27500 \times 0.1=\$2750$ . $2750 is your 10% cut.

Next, since this is a cut, subtract $2750 from $27500. $\$27500-\$2750=\$24750$ . $24750 is your new salary after the 10% cut.

Next, to find the percentage change, firstly divide $24750 by $25000. $\frac{\$24750}{\$25000}=0.99\ \textsf{or}\ 99\%$ . Now this shows that your current salary is 99% of what you used to make. It is not how much less you make. To find how much less it is, subtract 99% from 100%: $100\%-99\%=1\%$ . Your current salary is 1% less than what you used to make.