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
Rashid [163]
2 years ago
13

If sinA+cosA=root2cosA then prove cosA-sinA=root2sinA​

Mathematics
1 answer:
maks197457 [2]2 years ago
3 0

Answer:

\cos A - \sin A = \sqrt{2} \sin A (Proved)

Step-by-step explanation:

We are given that \sin A + \cos A =\sqrt{2} \cos A and we have to prove that

\cos A - \sin A = \sqrt{2} \sin A.

Now,  \sin A + \cos A =\sqrt{2} \cos A

⇒ \sin A = (\sqrt{2} - 1 ) \cos A

⇒ \sin A = \frac{(2 - 1)\times \cos A}{(\sqrt{2} + 1 )}

{By rationalization}

⇒ (\sqrt{2} + 1) \sin A = \cos A

⇒ \sqrt{2} \sin A + \sin A = \cos A

⇒ \cos A - \sin A = \sqrt{2} \sin A (Proved)

You might be interested in
The mean GPA for 127 residents of the local apartment complex is 1.6. What is the best point estimate for the mean GPA for all r
madam [21]

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

The Central Limit Theorem established that, for a normally distributed random variable X, with mean and standard deviation, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation ;

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The sample of 112 residents has a mean GPA of 1.7.

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

Learn more about Mean:

brainly.com/question/4313883

#SPJ4

4 0
2 years ago
Aiden owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and each burrito for $7. Yesterday Aiden mad
nevsk [136]

Number of tacos sold is 65 and number of burritos sold is 40

<h3><u>Solution:</u></h3>

Given that Aiden sells each taco for $4.75 and each burrito for $7

Let the number of tacos sold be "t" and number of burritos sold be "b"

Given that Aiden sold 25 more tacos than burritos

t = b + 25 ---- eqn 1

Also given that yesterday Aiden made a total of $588.75 in revenue

number of tacos sold x cost of each tacos + number of burritos sold x cost of each burritos = 588.75

t \times 4.75 + b \times 7 = 588.75

4.75t + 7b = 588.75  ----- eqn 2

Substitute eqn 1 in eqn 2

4.75(b + 25) + 7b = 588.75

4.75b + 118.75 + 7b = 588.75

11.75b = 470

b = 40

Substitute b = 40 in eqn 1

t = 40 + 25

t = 65

Thus the number of tacos sold is 65 and number of burritos sold is 40

5 0
3 years ago
to make a trail mix you have 4 cups of pretzels and 2 cups of bread chips .what is the ratio of pretzels t bread chips ?
geniusboy [140]
4:2 or when simplified 2:1
8 0
3 years ago
Read 2 more answers
85% of what number is 34?
mote1985 [20]
34/85%=34/0.85=40
So that's your answer.
3 0
2 years ago
Read 2 more answers
I need help with this problem please! I'll add a picture of the problem with the answers.
GaryK [48]
Where is th epicture?
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the circumference of one of the semicircles in this figure?
    11·2 answers
  • A GP has 8 terms, it's first and last terms are 0.3 and 38.4/, calculate the common ratio
    7·1 answer
  • The assembly of a machine takes 3/4 hour.there are 12 steps in the assembly process.what is the average time for each step?
    10·1 answer
  • Betty bought a package of meat that weighed 2 1/2 and another package that weighed 1 3/4 how much meat did she buy all together 
    8·2 answers
  • HELP ME PLZZ!!!!!!!!!!!"
    6·1 answer
  • the greatest internet function shown below is defined so that it produces the greatest interger____ or equal to x
    10·2 answers
  • An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm.
    12·1 answer
  • Use the vertex formula to find the vertex of the quadratic function f(x) = -x2 + 4x - 8.
    5·1 answer
  • A local little league has a total of 65 ​players, of whom ​40% are right-handed. How many
    6·2 answers
  • Pls help with Trigonometric
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!