wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

If (tan x +sec x)(tan y + sec y)(tanz +sec z) = (sec x - tan x )(sec y - tan y ) (secz - tan z) = K, then the value of K is


A


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


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

±2

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

±1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

±1


Divide and multiply
(tan x + sec x) (tan y + sec y)(tan z + sec z) to (sec x - tan x ) (sec y - tan y ) (sec z - tan z)


(secxtanx)(secytany)(secztanz)×[(tanx+secx)(tany+secy)(tanz+secz)](tanx+secx)(tany+secy)(tanz+secz)

=1(tanx+secx)(tany+secy)(tanz+secz)

Suppose (tan x +sec x) (tan y +sec y) (tan z + sec z) =a

Then middle term becomes 1a
a=1a
a2=1a=±1
So, k=a=±1


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