Let f (θ) = sin θ (sin θ + sin 3 θ). Then f (θ) :
(A) ≥ 0 only when θ ≥ 0 (B) ≤ 0 for all real θ
(C) ≥ 0 for all real θ (D) ≤ 0 only when θ ≤ 0

Question

Let f (&theta;) = sin &theta; (sin &theta; + sin 3 &theta;). Then f (&theta;) : (A) &ge; 0 only when &theta; &ge; 0 (B) &le; 0 for all real &theta; (C) &ge; 0 for all real &theta; (D) &le; 0 only when &theta; &le; 0

Ramesh V · Answer

f(x)= sinx(sinx+sin3x)

=sinx.2sin2x.cosx

=sin²2x

f(x)≥0 for all real x and lies in region[ 0 , 1]

--

Please feel free to post as many doubts on our disucssion forum as you can. If you find any question difficult
to understand - post it here and we will get you the answer and detailed solution very quickly.We are all
IITians and here to help you in your IIT JEE preparation. All the best.

Regards,
Ramesh
IIT Kgp - 05 batch

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

Let f (θ) = sin θ (sin θ + sin 3 θ). Then f (θ) : (A) ≥ 0 only when θ ≥ 0 (B) ≤ 0 for all real θ (C) ≥ 0 for all real θ (D) ≤ 0 only when θ ≤ 0

Let f (θ) = sin θ (sin θ + sin 3 θ). Then f (θ) :
(A) ≥ 0 only when θ ≥ 0 (B) ≤ 0 for all real θ
(C) ≥ 0 for all real θ (D) ≤ 0 only when θ ≤ 0

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Trigonometry

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

Let f (θ) = sin θ (sin θ + sin 3 θ). Then f (θ) : (A) ≥ 0 only when θ ≥ 0 (B) ≤ 0 for all real θ (C) ≥ 0 for all real θ (D) ≤ 0 only when θ ≤ 0

Let f (θ) = sin θ (sin θ + sin 3 θ). Then f (θ) : (A) ≥ 0 only when θ ≥ 0 (B) ≤ 0 for all real θ (C) ≥ 0 for all real θ (D) ≤ 0 only when θ ≤ 0

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Trigonometry

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Let f (θ) = sin θ (sin θ + sin 3 θ). Then f (θ) :
(A) ≥ 0 only when θ ≥ 0 (B) ≤ 0 for all real θ
(C) ≥ 0 for all real θ (D) ≤ 0 only when θ ≤ 0