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
Virty [35]
3 years ago
6

Prove, cotx -tanx= 2 cot2x

Mathematics
1 answer:
ra1l [238]3 years ago
4 0

Step-by-step explanation:

<em>cotx-</em><em> </em><em>tanx</em><em>=</em><em> </em><em>2cot2x</em>

<em>L.H.S</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>cosx</em><em>/</em><em>sinx-</em><em> </em><em>sinx</em><em>/</em><em>cosx</em><em> </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>cos</em><em>²</em><em>x-</em><em> </em><em>sin</em><em>²</em><em>x</em><em>)</em><em>/</em><em> </em><em>sinxcosx</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>[</em><em> </em><em>cos</em><em>²</em><em>x-</em><em>(</em><em>1</em><em>-cos</em><em>²</em><em>x</em><em>)</em><em>]</em><em>/</em><em>sinxcosx</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em> </em><em>2cos</em><em>²</em><em>x-1</em><em>)</em><em>/</em><em>sinxcosx</em>

<em> </em><em> </em><em> </em><em>2cosx</em><em>/</em><em> </em><em>2sinxcosx</em>

<em> </em><em> </em><em> </em><em>2cot2x</em>

You might be interested in
If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x +
cupoosta [38]

Answer:

\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }

Step-by-step explanation:

Hello,

\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0
3 years ago
Positive square root of 15376 by factors
pashok25 [27]
            15376
            /        I
          961    16
          /   I     /  I
       31  31  4  4

31 × 4 = 124

The square root of 15376 is 124
       
6 0
3 years ago
Six more than a number y
Flura [38]

Answer:

wdum

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB=7, BC=4, and AC=9. Are points A,
LenKa [72]
Two or more points are said to be collinear if they lie on the same straight line.

Given a straight line XY, with a point P on the straight line between point X and Y, then
XP + PY = XY

From the question, it was given that AB = 7 and BC = 4, so if A, B, C are colinear, then
AB + BC = AC
i.e. 7 + 4 = 11

But, from the equation, AC = 9.

Therefore, points A, B and C are not collinear.
7 0
3 years ago
Your $128 regular pay, plus tips, was $237. How much were the tips?
Amanda [17]
Just subtract them- $109
7 0
3 years ago
Read 2 more answers
Other questions:
  • Simple Cuts is a hair salon that offers two types of haircuts: a buzz cut and a flat-top. Jerry charges $9 for a buzz cut and $1
    12·1 answer
  • Luke puts 130 trading cards in a protector sheets he fills seven sheets and put the remaining four cards in the eighth sheet eac
    5·1 answer
  • What is 1.85 meters in feet and inches ??
    10·1 answer
  • For the following system of equations, what is the x-value of the solution?
    5·2 answers
  • A local hamburger shop sold a combined total of 700 hamburgers and cheeseburgers on Tuesday . There were 50 more cheeseburgers s
    10·1 answer
  • 1. Order the numbers from least to greatest. -3, 16 ,-50, 0,5,81 Correct Order:​
    11·2 answers
  • What is the area of the shaded region?<br> DO NOT include the unit of measure in your answer
    6·1 answer
  • Spiral Review. Find the value of the expression below
    6·1 answer
  • Helppppp someone lol I’m stuck
    8·2 answers
  • Please help me with this
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!