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
aliya0001 [1]
3 years ago
10

Cos (pi/2 -x) = sin x is this true or false?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

The above statement is true meaning cos(π/₂-x)=sin(x)

Step-by-step explanation:

We know that sine and cosine function are mutual cofunctions.

Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)

This can be verified mathematically by assuming “x” as 30°

Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)

Similarly Sin 30°= 0.5 (from trigonometric table values)

This can be proved through using the formula

Cos(A-B)= Cos A.Cos B + Sin A.Sin B

Here A=90° and b=x°

Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)

Cos 90°.cos x+ sin 90.sin x

0+sinx= sinx

Hence it is proved that cos(π/₂-x)=sin(x)

 

You might be interested in
Bryson’s dad is 38 years old. If this is four years less than three times Bryson’s age, how old is Bryson?
klemol [59]

Answer:

Bryson’s age is 14 years

Step-by-step explanation:

Let

x ----> Bryson’s age

we know that

Bryson’s age multiplied by 3 minus 4 must be equal to 38

so

The linear equation that represent this situation is

3x-4=38

solve for x

Adds 4 both sides

3x=38+4

3x=42

Divide by 3 both sides

x=14

therefore

Bryson’s age is 14 years

7 0
3 years ago
Solve the system of equations:
PolarNik [594]

Answer:

D.(-1,-5) and (5,7)

Step-by-step explanation:

I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.

Option D should be the correct answer.

4 0
3 years ago
$90.60/12 2/5 = $22.60 /c
GarryVolchara [31]
The awnser is c=7.48
7 0
3 years ago
What is the Difference Between a 16-Ounce Brick and a Carpenter?
Andrew [12]

One weighs a pound, and the other pounds away!

4 0
3 years ago
Read 2 more answers
Please Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x -3
Dmitrij [34]
Answer: A (-2, 1)
see image explanation attached

5 0
3 years ago
Other questions:
  • The mean is 18.1
    7·1 answer
  • A spinner with three equal-sized sections marked A, B, C is spun 100 times. What is the theoretical probability of Landing on A?
    10·1 answer
  • HOw do you find what are the x intercepts of a graph
    14·2 answers
  • What are two equivalent ratios of 5:3 * your answer?
    13·1 answer
  • Stephany has a dog thtat weighs 5times as much as ians dog the total weight of both dogs are 72 pounds how much does stephens do
    14·1 answer
  • you are playing a card game with friends.at one point,you double your score.in the next hand you lose 75 points.you end up with
    6·1 answer
  • What is the solution set of the equation (x - 2)(x - 8) = 0?
    7·2 answers
  • Simplify: |72 - 9 • 7| - 8|16 - 2|
    6·1 answer
  • What is the difference of 1 and 1/3 and 5/6??
    9·2 answers
  • What is 2.5% of 15 530​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!