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

If α+β=45θ then (1+tanα)(1+tanβ)=

A
1 /2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 2
tan(α+β)=tanα+tanβ1tanαtanβ

tan(45)=1=tanα+tanβ1tanαtanβ

1tanαtanβ=tanα+tanβ

1=tanα+tanβ+tanαtanβ

=(1+tanα)(1+tanβ)1

(1+tanα)(1+tanβ)=1+1=2.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Functions
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon