CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

How do you evaluate sin3π2?


Open in App
Solution

Step 1: Convert the angle from radians to degrees:

3π2=3×π×180π×23π2=270°

sin3π2=sin(270°)

Step 2: Find the required value:

As we know, sin(3x)=3sinx-4sin3x

270 can be written as :

270=3×(90)

sin(270°)=sin(3×90°)sin(270°)=3sin90°-4sin390°sin(270°)=3-4sin(270°)=-1 sin90°=1

Hence, the value of sin3π2 is -1.


flag
Suggest Corrections
thumbs-up
10
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 5
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon