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
natima [27]
3 years ago
8

Prove that

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

secx = \frac{1}{cosx} , cosecx = \frac{1}{sinx}

cotx = \frac{cosx}{sinx} , tanx = \frac{sinx}{cosx}

Consider the left side

secA cosecA - cotA

= \frac{1}{cosA} × \frac{1}{sinA} - \frac{cosA}{sinA}

= \frac{1}{cosAsinA} - \frac{cosA}{sinA}

= \frac{1-cos^2A}{cosAsinA}

= \frac{sin^2A}{cosAsinA} ( cancel sinA on numerator/ denominator )

= \frac{sinA}{cosA}

= tanA = right side ⇒ proven

You might be interested in
Solve the simultaneous equations
Black_prince [1.1K]

Answer:

Step-by-step explanation:

4x + 3y = 24

4x - y = 8

4x + 3y = 24

-4x + y = -8

4y = 16

y = 4

4x - 4 = 8

4x = 12

x = 3

(3, 4)

8 0
2 years ago
Angle MNO is formed by segments MN and NO on the following coordinate grid:
tekilochka [14]

Answer: m∠ M′N′O′ = 90 degrees

Step-by-step explanation: Hope that helps ! I am not sure if  I am right but I think I am !

3 0
3 years ago
Read 2 more answers
I need help asap!!!!!!!!!!!!!
Tatiana [17]

Answer:

Step-by-step explanation:

7 0
3 years ago
An engineer is designing an arch-shaped gate for the entrance to an amusement park. The gate must be 80 feet wide and 25 feet ta
Tom [10]
1) the form of the equation may be written as y = A(X - Xo)(X - X1)

Where Xo and X1 are the two roots of the equation.


2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40


=> y = A (X + 40) (X - 40) = A (X^2 - 1600) 


3) The height, at X = 0 is 25

=> A(0 - 1600) = 25


=> -1600A = 25 => A = -25 / 1600 = - 1/64


4) The equation is y =  - [1/64] (X^2 - 1600)


5) You can present it in different equivalent forms.

Some of those other forms are:

1) - 64y = (x^2 - 1600)

2) x^2 = - 64y + 1600

3) X^2 = - 64 (y - 25)
4 0
3 years ago
2/35=x/140 solve the proportion
tamaranim1 [39]

\frac{2}{35}=\frac{x}{140}    Multiply 140 on both sides to get "x" by itself

(140)\frac{2}{35}=\frac{x}{140} (140)

\frac{280}{35}=x

8 = x

4 0
3 years ago
Other questions:
  • Type the noun form of the verb.<br> contribute
    12·1 answer
  • Andrew rents bowling shoes for $4. He bowls 2 games. Andrew spent a total of $22. How much was the cost of each game, b? Complet
    12·1 answer
  • How do you calculate gross pay net pay and employee benefits
    7·2 answers
  • Help me and pls zoom in if u can’t see it :)
    12·1 answer
  • Y+1 = 1/2 (x-6) solve for y in simplest form
    10·2 answers
  • How do you solve a=a+b+c/3
    15·1 answer
  • If events A and B are independent and the probability that event A occurs is 83%, what must be true
    6·2 answers
  • 37. A birthday gift is placed inside the box shown.
    5·1 answer
  • Help!!!!!!<br> Please and thank you
    12·1 answer
  • Laura made $273 for 13 hours of work.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!