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

If sinx=1213 and x[0,π], then the value(s) of secx+tanx is/are

A
5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 5
For sinx=1213
From above triangle
Case 1: when x[0,π2]
secx=135,tanx=125tanx+secx=5

Case 2: when x[π2,π]
in this quadrant secx and tanx both are negative
secx=135,tanx=125tanx+secx=5

Alternate:
As we know
cos2x+sin2x=1cosx=±1sin2x
Now
Case 1: When x lies in 1st quadrant
cosx=1sin2x
and secx+tanx=1cosx+sinxcosx
=1+sinxcosx=1+sinx1sin2x=1+12131(1213)2=251325169=5

Case 2: When x lies in 2nd quadrant
cosx=1sin2x
and secx+tanx=1cosx+sinxcosx
=1+sinxcosx=1+sinx1sin2x=1+12131(1213)2=251325169=5

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Trigonometric Ratios of Allied Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon