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
Katena32 [7]
2 years ago
14

sin alpha = 7/25, alpha lies in quadrant ii, and cos beta = 2/5, beta lies in quadrant i. find cos(alpha-beta).

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
7 0

Answer:

Therefore \cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}

Step-by-step explanation:

Given values are

\sin \alpha=\frac{7}{25}

\cos \beta=\frac{2}{5}

\sin^2x+\cos^2=1

\cos \alpha=\sqrt{1-\sin^2\alpha}

\cos \alpha=\sqrt{1-(\frac{7}{25})^2}

\cos \alpha=\sqrt{1-\frac{49}{625}}

\cos \alpha=\sqrt{\frac{576}{625}}

\cos \alpha=\frac{24}{25}

\sin \beta=\sqrt{1-\cos^2\beta}

\sin \beta=\sqrt{1-(\frac{2}{5})^2}

\sin \beta=\sqrt{1-\frac{4}{25}}

\sin \beta=\frac{\sqrt{21}}{5}

\cos(\alpha-\beta)=\cos\alpha\cos\beta+\sin\alpha\sin\beta

\cos(\alpha-\beta)=\frac{24}{25}\times\frac{2}{5}+\frac{7}{25}\times\frac{\sqrt{21}}{5}

\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}

You might be interested in
Which of the following number is the smallest 0.1,0.01,0.001,0.0001​
atroni [7]

Answer:

0.0001

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Help pleaseeeeeeeeee
Elenna [48]
Hello here is a solution : 

8 0
3 years ago
Find the area of the trapezoid with bases 8 cm and 4 cm and a height of 1/4 cm. (Simplify your answer)
Simora [160]

Answer:

1 1/2 or 1.5

Step-by-step explanation:

trapezoid area formula: a = (a+b/2) x h

bases: 8 + 4 = 12

12/2=6

6 x 1/4 = 1.5 or 1 1/2

4 0
2 years ago
WILL MAKE BRAINLIEST
topjm [15]

Answer:

C (-6,-1)

Step-by-step explanation:

if you multiply the x coordinate by -1 it equals -6

5 0
3 years ago
Read 2 more answers
Which absolutely value inequality represents the given graph? A. |-3x| < 15 B. |-3| > 15
V125BC [204]

Answer:

B.|-3x| > 15

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • What is 3v+6v(4v-2v)
    14·2 answers
  • Write an equation of a rational function that has a hole at 3, a vertical asymptote at -4 and a horizontal asymptote at 2
    8·1 answer
  • What is the area of a house with 3 rooms and each room is 4 by 9
    11·2 answers
  • Show 63 tens in another way
    10·1 answer
  • Plz hep me Use 1.9 as the radius for the sphere
    14·2 answers
  • HELP PLEASE!!!!!!!!!
    14·1 answer
  • Help me on this please
    12·1 answer
  • 876/60 pls what is the answer​
    10·2 answers
  • according to "Black Hole Beginnings," the destruction of some stars results in inbursts of light. an intense gravitational pull.
    6·1 answer
  • When there is no equal sign, the polynomial is called an ___________.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!