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
Goryan [66]
3 years ago
11

Verify identity list steps. Cot(t)(1-cos^2(t))=cos(t)sin(t)

Mathematics
1 answer:
storchak [24]3 years ago
4 0
Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)

You should already know this:

\huge{Cot(t) = \frac{1}{tan(t)} = \frac{1}{\frac{sin(t)}{cos(t)}} = 1\div \frac{sin(t)}{cos(t)} = 1\times \frac{cos(t)}{sin(t)}=\boxed{\frac{cos(t)}{sin(t)}}


You should also know this:

sin^2(t) + cos^2(t) = 1\\\\\boxed{sin^2(t)} = 1 - cos^2(t)

So plugging in both of those into our identity, we get:

\frac{cos(t)}{sin(t)}\cdot sin^2(t) = cos(t)\cdot sin(t)

Simplify the denominator on the LHS (Left Hand Side)

We get:

cos(t) \cdot sin(t) = cos(t) \cdot sin(t)

LHS = RHS

Therefore, identity is verified.
You might be interested in
Plzz help 22 points, 11 if brainliest
OLEGan [10]

Step-by-step explanation:

plz I cannot see the pdf.

6 0
3 years ago
(a) Suppose a car is traveling north on “a” street and turns left onto Main Street. Which angle is this (angle number from pictu
Westkost [7]

Answer:

Traffic traveling north on Main Street must make a 125° turn onto the new road. This is the angle between where the traffic was originally headed and where it is headed after it makes the turn. Traffic on 2nd Street is traveling south, the opposite direction.

3 0
3 years ago
Solve x2+4x+6=0 by graphing
klemol [59]

Answer: x = -2±√2 i or no real roots. See the explanation below.

Step-by-step explanation:

If you draw the graph, you will notice that there are no common points or you can say that there are no x-intercepts.

This means that the equation doesn't have any real roots.

If there are 2 common points (2 x-intercepts) then there are 2 real roots (answers.)

If there is only one common point (vertex is on x-axis) then there is only 1 real root.

If there aren't any common points (no x-intercepts) then there are no real roots.

So first, I'm gonna convert the equation into function and convert the standard form to vertex form.

x^2+4x+6=0\\y=x^2+4x+6\\y=(x^2+4x+4)-4+6\\y=(x+2)^2+2

We notice that the vertex is at (-2,2), the graph doesn't have x-intercepts (Graph below)

So the answer is clearly complex.

If you solve this by solving the equation then it'll be.

x^2+4x+6=0\\x= \frac{-b+-\sqrt{b^2-4ac}}{2a} \\x=\frac{-4+-\sqrt{16-24} }{2}\\x=\frac{-4+-\sqrt{-8} }{2}\\\\x=\frac{-4+-2\sqrt{2}i }{2}\\\\x={-2+-1\sqrt{2}i }\\\\

The answer is complex.

However, you can find the value of x easily by graphing. For example.

x^2+6x+5=0

Factor then you get

(x+5)(x+1)=0\\x=-5,-1

Or you can convert it to vertex form then graph.

y=x^2+6x+5

y=(x^2+6x+9)-9+5\\y=(x+3)^2-4

The vertex is at (-3,-4) then graph parabola (x-intercepts determine the roots of quadratic equation. For the graph, parabola intercepts x at (-5,0) and (-1,0) that means both -5 and -1 both are the value of x.

Note:

From the standard form, y=ax^2+bx+c The graph is called Parabola, and it's Quadratic Function.

a is how the graph is, for example. If a>0, the graph is supine parabola and if a<0 then the graph is inverted parabola.

|a| is determined if the graph is wide or narrow, the more the value of a is, the more narrow it will be. The less the value of a is, the more wide it will be.

b is what determined the change of graph (likely vertex). Without b, then it'd be ax^2+k which only move y-axis and not x-axis.

c is what determined the y-intercept and y-axis. If there is no b or the value of b is 0 then the vertex is at (0,c). If there is the value of b then c is only determined the y-intercept.

4 0
3 years ago
Identify one characteristic of exponential decay.
Viktor [21]

Just completed this question as of right now it’s was : “ a common ratio between 0 and 1


5 0
3 years ago
Read 2 more answers
A deck of 38 cards contains 16 blue cards, 6 red cards, and 16 yellow cards. What is the probability of randomly drawing a blue
GalinKa [24]
The probability of drawing a blue card is equal to the quotient when the number of blue cards is divided by the total number of cards. This is, 16/38 which is also equal to 8/19. Thus, the probability of drawing a yellow card is 8/19. The answer is letter C. 
5 0
3 years ago
Other questions:
  • Over the course of 4 days the price of stock at Acme corporation fell $28. What was the average change in stock price per day?
    8·1 answer
  • How many cubes would be in the tower that is 3 cubes y’all?
    13·1 answer
  • A bisector of an angle separates evenly into two parts of 45 degrees that means the two new angles are
    8·1 answer
  • Which number is a multiple of 12? A) 22 B) 38 C) 56 D) 84.
    7·2 answers
  • Simplify :<br>Stepwise answer! ​
    11·1 answer
  • Explain how you know if an ordered pair is a solution to an equation or not.
    15·1 answer
  • 1. Write a recursive formula for the following sequence: <br><br> 45, 41, 37, 33
    14·2 answers
  • There is space for 120 students to go on a field trip. Currently, 74 students have signed up. Write and solve an inequality to f
    11·1 answer
  • PLEASE HELP RLLY APPRICIATEDddd
    11·1 answer
  • A Bag contains 3 green marbles, 7 white marbles, and red marbles (and no other marbles). One marble is chosen without
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!