sin² 160 + sinuo + sin 300
Answers
Step-by-step explanation:
answr
search
What would you like to ask?
MATHS
If sinβ is geometric mean between sinα and cosα , then cos
2
2β equals
Share
Study later
ANSWER
If sinβ is the geometric mean between sinα and cosα, then sin
2
β=sinα.cosα
⇒cos2β=1−2sin
2
β
=1−2sinα.cosα
⇒cos
2
2β=(1−sin2α)
2
Now if we simplify option A using 2sinA.cosB=sin(A+B)+sin(A−B), we get
2sin
2
(
4
π
−α)2cos
2
(
4
π
+α)=(2sin(
4
π
−α)cos(
4
π
+α))
2
=(sin
2
π
+sin(−2α))
2
=(1−sin2α)
2
Similarly, we can verify other options.
Hence option A is correct.
Answered By
toppr
201 Views
How satisfied are you with the answer?
This will help us to improve better
answr
Get Instant Solutions, 24x7
No Signup required
girl
star
Related Questions to study
The value of x between 0 and 2π which satisfy the equation sinx
8cos
2
x
=1 are in AP with common difference
Study later
View Answer
If sec(ϕ−α),secϕ,sec(ϕ+α) are in A.P., prove that cosϕ=
2
cos(α/2).
Study later
View Answer
VIEW MORE
Revise with Concepts
Problems Related to Trigonometric Equations
EXAMPLE
DEFINITIONS
FORMULAES
star
Learn with Videos
Problems based on Simultaneous Trigonometric Equations - I
Problems based on Simultaneous Trigonometric Equations - I
9 min
Problems based on Simultaneous Trigonometric Equations - II
Problems based on Simultaneous Trigonometric Equations - II
8 min
Quick summary with Stories
Solve Problems Related to Trigonometric Equations for Quadratic Equations
Solve Problems Related to Trigonometric Equations for Quadratic Equations
3 mins read
BROWSE BY
ClassesBoardsExams
MODULES
Online ClassesMock TestsAdaptive PracticeLive Doubts
Stay upto date with our Newsletter!
Stay informed, stay ahead. Be a topper
Your email address
About Us
Brand Resources
Press
Customer Stories
Jobs
Educators
Fellowship
Learning Planet
Guides
Ask
Blog
Bytes
News
Terms of Service
Privacy Policy
Contact Us
FAQs
Google Play
App Store
IN
India