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
Hunter-Best [27]
3 years ago
5

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

Mathematics
1 answer:
pantera1 [17]3 years ago
8 0

Answer: x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

Step by step:

1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

(Used a table of common angles)

You might be interested in
Jennifer decided to buy a brand new television. She spent nearly $2,000 on the TV, which was 40% off the original price. What wa
vichka [17]
Cómo Cómo estás Muy bien o te preguntan en mí porque yo no creo que sea ahorita en este momentito pero lo hice con esa no porque quiero ver 5 puntos
3 0
3 years ago
Read 2 more answers
Which is an equation of a line that has a slope of -1/3 and passes through the point (-5, 2)?
kramer

Answer:

y= -⅓x +⅓

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

This form is also known as the point-slope form.

Since the slope is given to be -⅓, m= -⅓.

y= -⅓x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -5, y=2,

2= -⅓(-5) +c

2 =  \frac{5}{3}  + c \\ c = 2 -  \frac{5}{3}  \\ c =  \frac{1}{3}

Thus, the equation of the line is y= -⅓x +⅓.

7 0
3 years ago
Find m<1 and find m<2
xenn [34]

Answer:

m∠1 = 50°

m∠2 = 130°

Explanation:

m∠2 = 130° because of alternate exterior angles.

m∠1 = 50° because it is supplementary to m∠2. So, 180 - 130 = 50.

8 0
3 years ago
Wesley is traveling from California to Utah. His trip covers a distance of 673.1 miles. For the first 3 hours, he travels at an
mr Goodwill [35]
I'm not sure what you are asking if your looking for the hours it should take him to get there it's about 10 hours adding the 2 and 3 he already drove... 5 left to go.. hope that helps
4 0
3 years ago
To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?
rodikova [14]

Answer:

I believe it is associative property of addition or commutative

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • How do I find the inverse of y=log⬇1/4 x^5
    5·1 answer
  • What is the value of the 30th term in the following arithmetic sequence? 12, 6, 0, -6, ... HELP!!!!
    8·2 answers
  • Will give brainliest for thiss
    5·2 answers
  • A new drug on the market is known to cure 24% of patients with colon cancer. If a group of 15 patients is randomly selected, wha
    5·1 answer
  • You have decided to purchase a new Toyota 4Runner for $25,635. You have promised your daughter that the SUV will be hers when th
    5·1 answer
  • The Antonov An-225 is an extremely large plane. Its length is 276 ft. – about 2½ football fields! A model of the plane has scale
    5·2 answers
  • A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to make a pie and a jar of ap
    6·2 answers
  • John bought 25 apples for $3. Jane bought the same apples at the same price but only needed 10.
    12·1 answer
  • Find the largest 4-digit number which is a perfect square.
    14·2 answers
  • What is the product of 4(8x + 5).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!