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
Leya [2.2K]
3 years ago
10

Can you please answer this question

Mathematics
1 answer:
tamaranim1 [39]3 years ago
4 0
3tan^{2} \theta +7sec\theta=3
First I converted the equation terms into sine and cosine.
tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta} and sec\theta= \frac{1}{cos\theta}
Substitution:
\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3
Common Denominator Created:
\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3
Multiply each term by the LCD:
3sin^2\theta+7cos\theta=3cos^2\theta
Substitution: Recall ⇒sin^2\theta =1-cos^2\theta 
3(1-cos^2\theta)+7cos\theta=3cos^2\theta
Distribute and collect all terms on one side:
6cos^2\theta-7cos\theta-3=0
Factor and set each factor equal to 0:
(2cos\theta-3)(3cos\theta+1)=0
2cos\theta-3=0⇒theta=cos^{-1} \frac{3}{2}
3cos\theta+1=0⇒theta=cos^{-1} \frac{-1}{3}
The 2nd factor provides only possible answer 109.5 degrees

You might be interested in
Rewrite the expression with the given base. 25^3x with a base of 5
spin [16.1K]
\bf 25=5^2\qquad \qquad 25^{3x}\implies (5^2)^{3x}\implies 5^{2\cdot 3x}\implies 5^{6x}
6 0
3 years ago
Read 2 more answers
How many times does 20 go into 110
Sindrei [870]

Answer:

20 goes into 110 five-and-a-half times

Step-by-step explanation:

Let's show our work:

20  +  20  +  20   +  20  +    20   +  10      

  \____\_____\____/_____/_____/

                           100

100

= 20 + 20 + 20 + 20 + 20 + 10

Half of 20 = 10

The keyword is half - so that leaves a 0.5 in your answer to "How many times does 20 go into 110."

How many 20's are there? Let's count!

20 + 20 + 20 + 20 + 20

 1      2       3      4       5

So five 20's + one 0.5 = ?

That equals 5.5, because 5 + 0.5 = 5.5

Your answer is 5.5!

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>
6 0
3 years ago
Katy is older than Alex and Beth. Sarn is
Sholpan [36]
This would be Delores because it goes katy, Delores, Alex, Sam, Beth
8 0
2 years ago
An environmentalist wants to find out the fraction of oil tankers that have spills each month.Step 1 of 2:Suppose a sample of 47
torisob [31]

Answer: The proportion of oil tankers that had spills is \dfrac{156}{474} or 0.329.

Step-by-step explanation:

Since we have given that

Number of tankers is drawn = 474

Number of tankers did not have spills = 318

Number of tankers have spills = 474 - 318 = 156

Proportion of oil tankers that had spills is given by

\dfrac{Containing\ spill}{Total}=\dfrac{156}{474}=0.329

Hence, the proportion of oil tankers that had spills is \dfrac{156}{474} or 0.329.

3 0
3 years ago
Which statements are true? Check all that apply. TIMED! WILL GIVE BRAINLIEST!
gladu [14]

Answer:

The 1st, 3rd, 4th, 5th are correct

7 0
3 years ago
Other questions:
  • Vladimir buys 1.20 pounds of Skittles, 3 1/2 pounds of M&amp;Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and
    7·1 answer
  • Im so confused please help me understand
    8·2 answers
  • Which of the following pairs of numbers contains like fractions?
    14·1 answer
  • Dan bought nineposters a week later half of the posters were destroyed in a fire there are now only 14 posters left how many did
    13·1 answer
  • What is the quotient of the given expression?
    8·1 answer
  • In which subsets does the number square root of 9 belong?
    5·2 answers
  • A steel beam can be cut to different lengths for a project. Assuming the weight of a
    5·1 answer
  • Which of the following is equivalent to the complex number
    13·1 answer
  • Help needed plse
    6·1 answer
  • Use the figure below to determine the relationship between _DBE and BED​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!