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
SashulF [63]
4 years ago
13

Tan65°-tan25°=2tan40° prove !!!

Mathematics
1 answer:
STALIN [3.7K]4 years ago
7 0

Answer:

tan65 - tan40 = tan 25 + tan 40 .

using tanA - tan B =sin(A - B)/cosAcosB and tanA + tan B

= sin( A + B)/cosAcosB

= we get :: to prove sin 25/ cos65

= sin65 / cos25 sin 25 = cos (90 - 25)

= cos 65 and sin 65

= cos (90 - 65)

= cos 25

-Leah

You might be interested in
HELP PLEASE! :) What is the difference between COMBINING LIKE TERMS and using PROPERTIES OF EXPONENTS?
KiRa [710]

Answer:

Combine terms with the same variable and the same exponent

Step-by-step explanation:

remember that when you combine like terms, you combine the terms with the exact same variable by adding them or subtracting them, depending on the operation they have attached to them. Terms with exponents work exactly the same way! hope this helps you  :)

5 0
3 years ago
Read 2 more answers
A card is selected from a standard deck of 52 cards . what are the odds of selecting a red 9 ?
krok68 [10]
B. 1:13 is the answer hope it helps
8 0
3 years ago
Read 2 more answers
Quadrilateral ABCD with vertices A(0, 6), B(-3, -6), C(-9, -6), and D(-12, -3): a) dilation with scale factor of 1/3 centered at
Oksanka [162]

a) The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively.

b) The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively.

<h3>How to perform transformations with points</h3>

a) A dillation centered at the origin is defined by following operation:

P'(x,y) = k\cdot P(x,y) (1)

Where:

  • P(x,y) - Original point
  • P'(x,y) - Dilated point.

If we know that k = \frac{1}{3}, A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3), then the new points of the quadrilateral are:

A'(x,y) = \frac{1}{3}\cdot (0,6)

A'(x,y) = (0, 2)

B'(x,y) = \frac{1}{3} \cdot (-3,-6)

B'(x,y) = (-1, -2)

C'(x,y) = \frac{1}{3}\cdot (-9,-6)

C'(x,y) = \left(-3,-2\right)

D'(x,y) = \frac{1}{3}\cdot (-12,-3)

D'(x,y) = (-4, -1)

The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively. \blacksquare

b) A translation along a vector is defined by following operation:

P'(x,y) = P(x,y) +T(x,y) (2)

Where T(x,y) is the transformation vector.

If we know that T(x,y) = (-5,-1), A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3),

A'(x,y) = (0,6) + (-5, -1)

A'(x,y) = (-5, 5)

B'(x,y) = (-3, -6) + (-5, -1)

B'(x,y) = (-8,-7)

C'(x,y) = (-9, -6) + (-5, -1)

C'(x,y) = (-13, -7)

D'(x,y) = (-12,-3)+(-5,-1)

D'(x,y) = (-17, -4)

The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively. \blacksquare

To learn more on transformation rules, we kindly invite to check this verified question: brainly.com/question/4801277

7 0
3 years ago
Which of the following pair of polygons are NOT similar and why
Amanda [17]
The first pair because one is a triangle and the second is a acute triangle
3 0
4 years ago
The feet of a commemorative parabolic steel arch 100m high are 200m apart. Determine whether the focus of the arch is above or b
Neko [114]
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft. The correct answer is 75 ft above. T The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2 To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a). By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75). So we conclude that the focus lies 75ft above ground.</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Use the following information to find x. Write the value of the variable.
    10·1 answer
  • A machine produces 75 widgets an hour. How many widgets does it produce in 6 minutes.
    15·1 answer
  • How much power is used if a force of 35 newtons is used to push a box a distance of 20 meters in 5 seconds
    6·1 answer
  • I will crown brainliest ..... i hate get more math so muchhh
    11·1 answer
  • Brain operation
    9·1 answer
  • 30% of 750 using an table
    8·2 answers
  • At the beginning of her mathematics class Mrs. Reno gives a warm up problem. She says, "I am thinking of a number such as 6 less
    11·2 answers
  • Which value is equivalent to sin20°?
    15·1 answer
  • What is 44:20 = ?:5 ?
    10·2 answers
  • What is 4+4+4+4 I need it ​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!