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

If tanA+B=pand tanA-B=q, then the value of tan2A in terms of pand qis:


A

p+qp-q

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

p-q1+pq

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

p+q1-pq

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

1+pq1-p

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

p+q1-pq


Explanation for the correct option

Given that tanA+B=pand tanA-B=q

2A=A+B+A-B

Applying tan on both sides, we get,

tan2A=tanA+B+A-B=tanA+B+tanA-B1-tanA+BtanA-B;∵tanx+y=tanx+tany1-tanxtany⇒tan2A=p+q1-pq;∵tanA+B=p;tanA-B=q

Hence the correct option is option(C) i.e. p+q1-pq


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
General Solutions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon