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
A circle has a center at Left-parenthesis 3 comma 5 right-parenthesis. The point Left-parenthesis 3 comma 8 right-parenthesis is
svet-max [94.6K]
The correct answer for this question would be option B) 18.8 units or the second option.
5 0
3 years ago
In a recent 10-year period, the change in the number of visitors in the U.S. National parks was about -11,150,000. What was the
Trava [24]

Answer:

Mean = -1,115,000 per year.

Step-by-step explanation:

Mean = (Σx)/N

The mean is the sum of variables divided by the number of variables

Σx = sum of variable = change in number of visitors over a 10 year period = -11150000

N = number of variables = 10

Mean = (-11150000)/10

Mean = -1,115,000 per year.

Hope this Helps!!!

4 0
3 years ago
A bag of birdseed that normally cost $22.25 is marked up to $25.30. What is the percent markup ?
LenaWriter [7]
25.3-22.25 = 3.05
What percent of 22.25 is 3.05?
22.25x = 3.05
x = .1370786517
It's marked up 13.7%
4 0
3 years ago
Vertex of y=2x^2+4x-6
borishaifa [10]

Answer:

(-4) (0)

Step-by-step explanation:

6 0
3 years ago
8(2x – 14) + 13 = 4x – 27
Juliette [100K]
8 (2x - 14) + 13 = 4x -27

distribute 8 through the parentheses

16x - 112 + 13 = 4x - 27

combine like terms

16x - 99 = 4x -27

subtract 4x from each side

12x - 99 = -27

add 99 to each side

12x = 72

divide each side by 12

x = 6
3 0
3 years ago
Other questions:
  • 2. Convert 2 liters to gallons Use the fact that 1 gal. ≈ 3.8 L
    9·1 answer
  • What is the y intercept if the slope=-2
    5·2 answers
  • Guys i need your HELP ASAP​
    13·1 answer
  • Tom bought a soft drink for 3 dollars and 6 candy bars he spent a total of 21 dollars how much did each candy bar cost
    10·2 answers
  • Will is selling T-shirts for $15 and sweatshirts for $20 at the basketball game. Wills club team needs to raise over $200 for th
    6·1 answer
  • Which one of the following U.S. customary units of volume is closest to 4 liters in volume? 64cups , 16quarts, 512 fluid ounces,
    12·1 answer
  • What is the area of a parallelogram with a height of 6 feet and a base of 10.5 feet?
    13·2 answers
  • Solve each equation. Check your solution.<br> 2 + ba = -4
    14·1 answer
  • Guys pls help me!!!!!
    5·1 answer
  • It costs $12 per person to enter a museum. This relationship is shown in the following equation.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!