wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Consider the following statements :
1. sin|x|+cos|x| is always positive.
2. sin(x2)+cos(x2) is always positive.
Which of the above statements is/are correct ?

A
1 only
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2 only
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Both 1 and 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Neither 1 nor 2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D Neither 1 nor 2
To prove that the statements are incorrect, it's enough to show an example, where the given statements are false.
As we can see fro the figure

for π<x<3π2
sin|x|,cos|x| < 0, hence sin|x|+cos|x|<0
The first statement is false
Similarly

forπ<x<3π2
sinx2,cosx2 < 0, hence sinx2+cosx2<0
Statement 2 is also false

677720_630470_ans_1ac76525120144949b1795df4ab2a196.jpg

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Trigonometric Functions in a Unit Circle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon