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

(1+tan2A1+cot2A)=(1−tan2A1−cot2A)2=tan2A

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

The correct option is B False
Given

(1+tan2A1+cot2A)=(1tan2A1cot2A)2=tan2A

Considering the term (1+tan2A1+cot2A)

⎜ ⎜ ⎜1+tan2A1+1tan2A⎟ ⎟ ⎟

(cotθ=1tanθ)

tan2A+1(1+tan2Atan2A)

11tan2A

tan2A(1)


Considering the term (1tan2A1cot2A)2

⎜ ⎜ ⎜1tan2A11tan2A⎟ ⎟ ⎟2

(cotθ=1tanθ)

⎜ ⎜ ⎜ ⎜1tan2Atan2A1tan2A⎟ ⎟ ⎟ ⎟2

⎜ ⎜ ⎜11tan2A⎟ ⎟ ⎟2

tan4A(2)


From (1),(2)

The equations are not true.

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Pythagorean Identities
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon