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
skad [1K]
3 years ago
14

Prove that : cos10° - sin10° / sin10° + cos10° = tan35°​

Mathematics
1 answer:
Digiron [165]3 years ago
3 0

Step-by-step explanation:

(cos 10° − sin 10°) / (cos 10° + sin 10°)

Rewrite 10° as 45° − 35°.

(cos(45° − 35°) − sin(45° − 35°)) / (cos(45° − 35°) + sin(45° − 35°))

Use angle difference formulas.

(cos 45° cos 35° + sin 45° sin 35° − sin 45° cos 35° + cos 45° sin 35°) / (cos 45° cos 35° + sin 45° sin 35° + sin 45° cos 35° − cos 45° sin 35°)

sin 45° = cos 45°, so dividing:

(cos 35° + sin 35° − cos 35° + sin 35°) / (cos 35° + sin 35° + cos 35° − sin 35°)

Combining like terms:

(2 sin 35°) / (2 cos 35°)

Dividing:

tan 35°

You might be interested in
PLZ HELP
Mkey [24]

Answer

A

Step-by-step explanation:

It should taker her 4 hrs to get there because 53 times 4 equals 212.

4 0
3 years ago
Which of the following sequences describes the distances of the ball from you
exis [7]
If the paintball is going 150m a second and the question asks, "starting from the distance of your friend what is the distance every TENTH of a second"
Ok so 150 meter a second so to get a tenth of a second you do 150/10 which is 15, if you start at 25 m away from you then only A and E could be correct, so now do 25+15 then that +15 and so on and you can see that letter choice E is correct
6 0
3 years ago
What are the prime factors of 625
kobusy [5.1K]
Let's see what we can get by dividing 625 by 5, as it ends with a 5:
625/5 = 125
So we have 5 as one of our factors. Let's divide again by 5:
125/5 = 25
Our current prime factors now are 5 and 5, but we aren't finished. Divide again by 5:
25/5 = 5
Now we know that the prime factorization of 625 is 5 * 5 * 5 * 5, which can also be shown as 5⁴.
6 0
3 years ago
Sun Lei bought a laptop computer for $1800.
vekshin1

Subtract to find the amount of tax paid:

1890 - 1800 = 90

Divide the amount of tax by the price of the computer:

90 / 1800 = 0.05

Multiply the decimal by 100:

0.05 x 100 = 5%

The tax rate is 5%

6 0
3 years ago
What is the product of Negative StartFraction 2 over 7 EndFraction and Negative StartFraction 3 over 7 EndFraction?
Andrew [12]

Answer:

your answer is d

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • *perimeter * rec =rectangle <br> Plz go step by step.
    7·1 answer
  • Question 2: Please help I do not understand this question.
    6·1 answer
  • A basketball player has already scored 56 points in a game. the team record for points in a game is 72. which equation would all
    14·1 answer
  • Find the value of 0.34 multiply by 9
    8·2 answers
  • 30 POINTS!!!
    7·1 answer
  • 4(-y+3)=2(5-y)<br> x=?<br><br> Merry Christmas
    6·2 answers
  • Please show work so i know how you got your answer..thank you and have a nice day&lt;3
    5·2 answers
  • Check pic plz ima taking a test and it's hard
    7·1 answer
  • 22
    15·1 answer
  • If 5-3(2a+1)=-4+10, what is the value of a+2​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!