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
PLS I NEED HELP WITH MY EXAM
Neporo4naja [7]

Answer:

F. a1 = –5, an = 5an-1

Step-by-step explanation:

a1 = -5                    <---- Answer

r = -25/-5 = 5

an =  r(an - 1)

an =  5(an - 1) <---- Answer

Hope this helps!

5 0
3 years ago
Read 2 more answers
Which of these is the graph of −2−3i ?
Sav [38]

Answer:

-2-3i  in the complex plane would be 2 units to the right of the origin and

3 units below the Real number line.

Step-by-step explanation:

Think of the complex plane as being the Cartesian plane but with the X-axis replaced by the Real component of a complex number and the Y-axis replaced by the imaginary component.

3 0
3 years ago
An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p
True [87]

Answer:

the value of a, if points A and D belong to the x−axis and m∠BAD=60 degrees is 2/√3

Step-by-step explanation:

Trapezoid ABCD with height 2 unit contain Points A and D which may be A(-1,0) and D(5.0)

Vertex of parabola is the point where parabola crosses its axis

Let suppose A and D are two points then draw altitude on them CE where C is on AD

As height of altitude has been given that is 2 then

total angle = 180 degrees

m∠BAD=60 degrees

m∠CEA =180 - 60 -90

             = 30

then the value for  AE = 2/√3.

y=a(x+1)(x−5).

where  2/√3 is right of -1 and 2 unit above x-axis

5 0
3 years ago
How many 1-in. cubes can fit into a 2 by 4 by 2 in.<br>prism?​
wel

Answer:

16

Step-by-step explanation:

The dimensions of the base of the prism are 4" by 2"; the height is 2".

Looking at the base, we see that (4)(2), or (8) 1" cubes would cover it exactly and wholly.  We'd have a 3-dimensional prism with one layer of 1" cubes.

Now if we add a second layer right on top of the first layer, we'd have used (16) 1" cubes.

3 0
3 years ago
Read 2 more answers
There is a ratio of 5 girls to 3 boys in the chorus. There are 24 boys in the chorus. How. many girls are in the chorus?
leva [86]

Answer:     40

Step-by-step explanation:

5/3    24/?

    divided by 8 =24 divided by 8 =3

                     5 x 8   =40  

Hope this helps :)

6 0
3 years ago
Other questions:
  • Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . H
    9·2 answers
  • A jar contains 21 pennies (worth $0.01 each), 15 nickels (worth $0.05 each), 18 dimes (worth $0.10 each), and 32 quarters (worth
    8·1 answer
  • Julie wanted to earn money to attend a basketball camp. She started with a gift of money from her grandparents and then saved $2
    8·1 answer
  • What is 2x – 5 &gt; 7 inequality subject
    14·1 answer
  • How to I work out the answer?
    5·1 answer
  • Just number 18 please
    8·1 answer
  • What is the total area of a right rectangular prism with a height of 8 feet, a width of 10 feet, and a thickness of 12 feet?
    6·2 answers
  • Someone please help me
    13·1 answer
  • The question is in the attached image.
    8·1 answer
  • Solve the following questions if |7|x|-4=a then find the value of a​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!