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
Andrews [41]
3 years ago
5

Prove the identity of tan(pi - x) = - tan x

Mathematics
1 answer:
liq [111]3 years ago
8 0

Two ways:

Step-by-step explanation:

1. First way. Using the trig unit circle.

tan (pi - x) = - tan x

2. Second way. Apply the identity:

tan(a-b)=tan a- tan b/ 1 - tan a×tan b

tan (π - x)= tan π - tanx/1 - tan(π)×tanx

Since tan (pi) = 0, therefor:

tan(π−x)=−tanx

You might be interested in
PLEASE HELP!! NO LINKS!!
dlinn [17]

Answer:

42.1 cm

Step-by-step explanation:

θ = 265°

Radius (r) = 9.1 cm

Arc length of major arc GH = θ/360 × 2πr

Plug in the values into the equation

Length of arc GH = 265/360 × 2 × π × 9.1

= 42.0886149

= 42.1 cm (nearest tenth)

6 0
3 years ago
−1/3 −(−1/2)<br><br> Brainliest for the right answer
lawyer [7]

The answer would be -1/6 or -0.166667

4 0
3 years ago
By Faraday's Law, if a conducting wire of length ℓ meters moves at velocity v m/s perpendicular to a magnetic field of strength
andrew11 [14]
V = -Bρv
dV/dv = -Bρ = -8 x 0.7 = -5.6
4 0
3 years ago
Verify the property: a ×( b+c ) = ( a×b ) + ( a×c ) by taking a = 3/5 , b = -2 , c = 10/13
Ivanshal [37]

Answer:

This is the distributive property

Step-by-step explanation:

You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.

For this example, they distributed a to both b and c making it a*b + a*c

This will result in the same answer:

3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13

3/5(-1.23..) = -6/5 + 30/65 (..= approx)

approximately- 0.74  = -0.74

6 0
3 years ago
Pyramid A is a right square pyramid with a height of 100 m and a square base with a perimeter of 356 m. Pyramid B has a square b
Tomtit [17]

Answer:

The volume of pyramid B is 3.5 times greater than the volume of pyramid A

Step-by-step explanation:

The area of squared based a pyramid is given by:

Area = \frac{1}{3}*s*s*h

Where 's' the length of the side of the base and 'h' is the height.

For pyramid A:

h= 100 m

s= 356/4 = 89 m

Area_A = \frac{1}{3}*89*89*100\\Area_A=264,033.33\ m^3

For pyramid B:

h= 215 m

s= 456/4 = 114 m

Area_B = \frac{1}{3}*114*114*215\\Area_B=931,380\ m^3

Pyramid B has a greater volume and the ratio between volumes is:

\frac{Area_B}{Area_A} =\frac{931,380}{264,033.33}\\\frac{Area_B}{Area_A} =3.5

3 0
3 years ago
Other questions:
  • If X =3 calculate the value of 2x2+X
    8·2 answers
  • 5x+3y=3<br> slope intercept form:<br> slope of the line:<br> y-intercept of the line:
    12·1 answer
  • 2 fraction bars. The first bar is labeled 1 with 5 boxes underneath that are labeled one-fifth. The second bar is labeled 1 with
    10·2 answers
  • How is naming a line segment different from naming a line?
    6·1 answer
  • A larger number is twelve more<br>than a smaller. Their sum is<br>84. Find the numbers.​
    14·2 answers
  • $265 worth of tickets were sold Adult tickets cost $6 Child tickets cost $2.50 • 57 tickets were sold. How many adult tickets we
    6·1 answer
  • Answer #5 for me . I'll give brainliest !​
    9·1 answer
  • Dave has a board that is
    15·1 answer
  • Cones A and B are similar.
    13·2 answers
  • Can you guys please help me on my homework? It would mean a lot to me :)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!