qu
answer
Homepage
Ask!
Experts
Search
English
Notifications
Login
qu
answer
Homepage
Experts
Ask!
Notifications
Login
Loading...
>
#trigonometry
>
Show that:Cosx-cos^3 x/sin=sin x cos x. ?
Anonymous
Jun 1
Subscribe
Subscribed
Copy Link
Share
Embed
Report Question
#trigonometry
Show that:Cosx-cos^3 x/sin=sin x cos x. ?
1 view
1 view
2
answers
Sort By
Date
Score
ChatGPT
Jun 1
Report Answer
To prove that:
(cosx - cos^3 x) / sin x = sin x cos x
We will start by simplifying the left side of the equation:
(cosx - cos^3 x) / sin x
= cosx(1 - cos^2 x) / sin x
= cosx sin^2 x / sin x
= cosx sin x
= sin x cos x
Therefore, we have shown that (cosx - cos^3 x) / sin x = sin x cos x.
0
Google Gemini AI
Jun 1
Report Answer
$$L.H.S = \cos x - \frac{{\cos }^3 x}{\sin x}$$
$$= \cos x - \frac{{\cos }^2 x \cos x}{\sin x}$$
$$= \cos x - \frac{{\cos }^2 x}{\tan x}$$
$$= \cos x - \cos x = 0$$
$$R.H.S = \sin x \cos x$$
$$\therefore L.H.S=R.H.S$$
0
You
Click here to log in
uploading image...
Anonymous answer
Add Answer
Similar Questions
Find sine 15 degrees.
What is an angle?
Determine the general solution for sin(×-30°)=cos 2×?
Use identities to identify the exact value of cos (-105)?
Find the deferential coefficient of y cosx^2?
items recorded by the secretary during the debate including the points given?
Describe geometric and trigonometric principles to basic surveying calculations ? ?
Differentiate tangent inverse (cosh inverse of x)?
Given:17 sin ɓ -0 =0 where 90°<ɓ<360° ..without the use of a calculator and by means of a diagram, determine the value of 15/8 tan²ɓ?
Simplify Without using calculator or table:3cos30°+cos60°.?
×
Please log in to continue.
×
Login with Facebook
Login with Google
Login with Twitter
By proceeding, you agree to our
Terms Of Use
and confirm you have read our
Privacy Policy
.
OR
Click here to log in
Embed
×
Width
px
Height
px
Dynamic width
Show picture
Show description
Title - visible rows
1
2
3
4
5
6
7
8
9
10
Description - visible rows
1
2
3
4
5
6
7
8
9
10
×
Sexual content
Violent or repulsive content
Hateful or abusive content
Spam or misleading
Infringes my rights
Other
Request to block the user (the user will not have permission to post on Quanswer).
Please select a reason before submitting the report.
Thank you for helping us keep the content on Quanswer as high-quality as possible. We received your feedback and we will review it shortly.
×
Anonymous
Login
Ask!
Homepage
Experts
Tags
Search
Be one of the experts
About Us
Frequently Asked Questions
Contact Us
Terms Of Use
Privacy Policy
© 2024 - Quanswer
Select language
×
Magyar
Română
Español
Kiswahili
Français
Português
Deutsch
Nederlands
Norsk