The value of   \sin 10 ^{o}\sin 30 ^{o}\sin 50 ^{o}\sin 70 ^{o}  is :

  • Option 1)

    \frac{1}{16}

  • Option 2)

    \frac{1}{32}

  • Option 3)

    \frac{1}{18}

  • Option 4)

    \frac{1}{36}

 

Answers (1)

\\ \sin 10^{o} \sin 30^{o} \sin 50^{o}\sin 70\\\\\\\:\frac{1}{4}\sin 10^{o}\left ( 2\sin 50^{o}\sin 70^{o} \right )\\\\\\\:\frac{1}{4}\sin 10^{o}\left ( \cos 20^{o}-\cos 120^{o} \right )\\\\\\\:\frac{1}{8}\left ( 2\sin 10^{o}\cos 20^{o}-2 \sin10^{o}\cos 120^{o}\right )

\\\frac{1}{8}\left ( \sin 30^{o} -\sin10^{o}+\sin10^{o}\right )\\\\\\\:\frac{1}{8}\left ( \frac{1}{2} \right )=\frac{1}{16}


Option 1)

\frac{1}{16}

Option 2)

\frac{1}{32}

Option 3)

\frac{1}{18}

Option 4)

\frac{1}{36}

Most Viewed Questions

Preparation Products

Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Test Series JEE Main 2024

Chapter/Subject/Full Mock Tests for JEE Main, Personalized Performance Report, Weakness Sheet, Complete Answer Key,.

₹ 7999/- ₹ 4999/-
Buy Now
JEE Main Rank Booster 2023

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, Faculty Support.

₹ 9999/- ₹ 6999/-
Buy Now
Knockout JEE Main (One Month Subscription)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, Faculty Support.

₹ 7999/- ₹ 4999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions