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
Alenkasestr [34]
2 years ago
7

How can I solve this trig identity manipulating tan instead of the right side?

Mathematics
1 answer:
DedPeter [7]2 years ago
5 0

Answer:

<u>Trig identities</u>

\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}

\sin(\thet2\theta)=2 \sin(\theta)\cos(\theta)

\begin{aligned}\cos(\thet2\theta) &  =1-2\sin^2(\theta)\\2\sin^2(\theta) & = 1-\cos(2\theta) \end{aligned}

<u>Solution</u>

\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}

\textsf{Multiply by}\:\dfrac{2\sin(\theta)}{2\sin(\theta)}:

\begin{aligned}\implies \tan(\theta) & =\dfrac{\sin(\theta)}{\cos(\theta)} \times \dfrac{2\sin(\theta)}{2\sin(\theta)}\\\\ & =\dfrac{2\sin^2(\theta)}{2\sin(\theta)\cos(\theta)}\\\\ & = \dfrac{1-\cos(2\theta)}{\sin(2\theta)}\end{aligned}

Therefore,

\implies \dfrac{1-\cos(2\theta)}{\sin(2\theta)}=\dfrac{1-\cos(2\theta)}{\sin(2\theta)}

You might be interested in
What's the answer to 243.875 to nearest tenth,hundredth, ten,and hundred
trapecia [35]
Tenth: 243.9
Hundredth: 243.88
Ten: 240
Hundred: 200
3 0
3 years ago
Read 2 more answers
A rectangle has sides measuring (2x + 7) units and (5x + 9) units. Part A: What is the expression that represents the area of th
andrey2020 [161]

Answer:

Part A:  

(2x+7)(5x+9)

=(2x+7)(5x+9)

=(2x)(5x)+(2x)(9)+(7)(5x)+(7)(9)

=10x2+18x+35x+63

=10x2+53x+63

A)

The formula for determining the area of a rectangle is given as

Area = length × width

Given that the length and width are (2x + 6) units and (5x + 3) units, the expression for the area is

(2x + 6)(5x + 3) = 10x² + 6x + 30x + 18

Area = 10x² + 36x + 18

B)

The degree is 2 because the highest power of the terms is 2. It is classified as a trinomial because it has 3 terms.

C) it is closed under multiplication. the exponents in the polynomials are whole numbers(2 and 1). The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.

Step-by-step explanation:

3 0
3 years ago
how to use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence 24,30,36,42,48,...
Leni [432]
A1=24 
<span>n=500(seq #) </span>
<span>d=how much u add each time=6 </span>

<span>a(n)=24+(500-1)(6)=3018</span>
7 0
2 years ago
Read 2 more answers
Write the ratio as a fraction in simplest form. 32:42
maks197457 [2]
16/21 is your answer

You can take a 2 out of both numbers to get your answer

I hope this helped! :)

3 0
3 years ago
Read 2 more answers
3 points lie on an xy plane, with each point representing where a particular person lives. Amy lives at point (2,3); Brian lives
geniusboy [140]
The equidistant point for all three, will be the "centroid" of their triangular locations
thus \bf \textit{Centroid of a Triangle}&#10;\begin{array}{llll}&#10;Amy&#10;\begin{array}{llll}&#10;(2,3)\\&#10;x_1,y_1&#10;\end{array}\quad Brian&#10;\begin{array}{llll}&#10;(0,7)\\&#10;x_2,y_2&#10;\end{array}\quad Claire&#10;\begin{array}{llll}&#10;(-2,3)\\&#10;x_3,y_3&#10;\end{array}\\ \quad \\\\\\&#10;\left(\cfrac{x_1+x_2+x_3}{3}\quad ,\cfrac{y_1+y_2+y_3}{3}\quad \right)&#10;\end{array} &#10;
6 0
3 years ago
Other questions:
  • Is number 4 right? Someone help.
    5·2 answers
  • Find the value of x in the isosceles triangle shown below.​
    10·2 answers
  • which set of number could represent the length of the sides of a right triangle? A 9 11 14 B 15 18 21 C 7 24 25 D 8 9 10
    13·2 answers
  • Write a few sentences summarizing how to solve word problems that involve square roots
    13·1 answer
  • 3<br>Evaluate :<br>5 12<br>х<br>12 21<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20%20%5Ctimes%20%20%5Cfrac%
    7·2 answers
  • How is mathematical thinking established? How can we have mathematical thinking?<br><br> 修改翻译结果
    13·2 answers
  • PLEASE HELP !!!!!!!!!
    9·2 answers
  • Find the value of x to the nearest degree.
    7·1 answer
  • Adding and subtracting matrices ​
    5·1 answer
  • A high school basketball coach wants to see whether there is a linear relationship between player height, x , and the number of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!