1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zubka84 [21]
2 years ago
14

Simplify (sin theta - cos theta) - (sin theta + cos theta)^2

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
8 0

\bf \begin{array}{llll} [sin(\theta )-cos(\theta )] &-& [sin(\theta )+cos(\theta )]^2\\\\ &&sin^2(\theta )+2sin(\theta )cos(\theta )+cos^2(\theta )\\\\ &&sin^2(\theta )+cos^2(\theta )+2sin(\theta )cos(\theta )\\\\ &&1+2cos(\theta )sin(\theta )\\\\ &&1+sin(2\theta ) \end{array} \\\\\\ sin(\theta )-cos(\theta )-[1+sin(2\theta )]\implies sin(\theta )-cos(\theta )-1-sin(2\theta )


I don't see it simplifying further.

You might be interested in
A fair spinner has 12 equal sections: 4 red, 3 blue and 5 green.
AnnyKZ [126]
The probability of getting green is-3/12
And not getting green is -12/3
6 0
3 years ago
An expression is given. 3 × (8 + 2) ÷ 2 Which statement is true about the parentheses in this expression?
muminat

Answer:

I don't think you typed the full problem, but the answer is either that you do the parenthesis first, or that it adds to 10

Step-by-step explanation:

5 0
3 years ago
In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.
Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}

where c is the proportionality constant

\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}

Hence, x value is 12 when y value is 9

3 0
3 years ago
How do you find a rate of a number
KATRIN_1 [288]

To determine the rate of a number do the following steps:


   Multiply the number by the percent (e.g. 87 * 68 = 5916)

   Divide the answer by 100 (Move decimal point two places to the left) (e.g. 5916/100 = 59.16)

   Round to the desired precision (e.g. 59.16 rounded to the nearest whole number = 59)

8 0
3 years ago
Read 2 more answers
The product of two consecutive integers is 72. find the integers
Margaret [11]

Answer:

the integers are 8 and 9

Step-by-step explanation:

consecutive means one right after the other. 9 is right after 8. and its product is 72, well 8x9 is 72.

6 0
2 years ago
Other questions:
  • 1/10 of the m&amp;m in a bag are red and 1/5 are blue what fraction of the m&amp;m's are red and blue
    6·1 answer
  • What is the sum of the first 14 terms of the sequence -11+(-18)+(-25)+(-32)...
    7·1 answer
  • Pls help me answer this question thx
    8·1 answer
  • Whats 4/5×4/9 can it be simplify
    11·2 answers
  • How do i order 0.5,0.41,3/5 from least to greatest
    13·1 answer
  • What value of n in the equation nx+7=4y would give a line with the slope 2?
    11·1 answer
  • George is building a fence he builds his fence at a constant rate of 1/3 section of fence every 1/2 hour at this rate what facti
    12·1 answer
  • Notice that the rule for each animal involves counting the number of chirps in different time intervals. For the Brookdale crick
    11·1 answer
  • 5 times 4 times 2 times 2 divided by 2 minus 4​
    13·1 answer
  • Job 1 the base pay is 30 and the job pay 150 total for an 8 hour day job 2 y=17x+25 which one pays more
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!