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
e-lub [12.9K]
2 years ago
5

Given: sin = 4/5 and cos x = -5/13 ; evaluate the following expression.cos( ∅ - x )

Mathematics
2 answers:
mafiozo [28]2 years ago
7 0

Answer:

\cos(\theta - x)=\dfrac{33}{65}

Step-by-step explanation:

Given:

\sin\theta=\dfrac{4}{5}\implies \cos \theta=\dfrac{3}{5}

\cos x=-\dfrac{5}{13}\implies \sin x=\dfrac{12}{13}

Using the trig identity:

\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B

\begin{aligned}\implies \cos(\theta - x) &=\cos \theta \cos x + \sin \theta \sin x\\\\&=\dfrac{3}{5} \cdot -\dfrac{5}{13} + \dfrac{4}{5} \cdot  \dfrac{12}{13}\\\\&=-\dfrac{15}{65} + \dfrac{48}{65}\\\\&=\dfrac{33}{65}\end{aligned}

nadezda [96]2 years ago
6 0

sinø=4/5

so

  • cosø=3/5

And

cosx=-5/13

so

  • sinx=12/13

cos(ø-x)

  • sinøsinx+cosøcosx
  • (4/5)(12/13)+(3/5)(-5/13)
  • (48/65)-(15/65)
  • 48-15/65
  • 33/65
You might be interested in
Please help I’ll give you brainiest :)
juin [17]

Answer:

i think its b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve – 4(x + 6) – 6 = 4(x – 1) for x
hjlf

4Step-by-step explanation:

bhtrrerh

6 0
3 years ago
F(x) = x2. What is g(x)?
wolverine [178]

Answer:

A

Step-by-step explanation:

when x=2,g(x)=2

g(x)=(2)²/2=2

which is correct.

8 0
3 years ago
How many solutions does the following equation have? 4(y-30)=4y+124(y−30)=4y+12
dedylja [7]

Answer:

A. No solution

Step-by-step explanation:

Choose 1 answer:

A. No solutions

B. Exactly one solution

C. Infinitely many solutions

Solution

Given:

4(y-30)=4y+12

Open parenthesis

4y-120=4y+12

Collect like terms

4y-4y=12+120

0=142

There is no solution to the equation, therefore, the answer is A

4 0
3 years ago
Which tool is not needed to construct a perpendicular bisector?
Dafna11 [192]
A compass because youre just making two arcs
8 0
3 years ago
Read 2 more answers
Other questions:
  • A female executive selecting her wardrobe purchased five blazers, three blouses, and five skirts in coordinating colors. How man
    7·1 answer
  • Help with#1 and 7 And if you can the rest of the questions.
    8·2 answers
  • A+b+c=75 find out a,b and c
    8·1 answer
  • What is the domain of f in the equation <br> F(x)=5/x2-18x+45
    7·1 answer
  • If 3t - 7 = 5t, then 6t = <br> A. 21 <br> B. -7 <br> C. -21<br> D. -42
    13·1 answer
  • Which of the lists of letters all have rotational symmetry?
    14·1 answer
  • Can somebody pls help me with this question I dont get it
    15·1 answer
  • Kayleigh has 3 1/2 gallons of water. She wants to fill up 1/3 cups. How many cups can she fill and how much is left over?
    5·2 answers
  • The box and whisker plots represent the number of minutes spent by users on two different social media groups. Which THREE state
    12·2 answers
  • A rectangular school banner has a length of 60 inches and a width of 48 inches. A sign is made that is similar to the school ban
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!