Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

For α=π7 which of the following hold(s) good?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

tan⁡αtan⁡2αtan⁡3α=tan⁡3α−tan⁡2α−tan⁡α

b

cosec⁡α=cosec⁡2α+cosec⁡4α

c

cos⁡α−cos⁡2α+cos⁡3α=12

d

8cos⁡αcos⁡2αcos⁡4α=1

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

1. tan⁡αtan⁡2αtan⁡3α=tan⁡3α−tan⁡2α−tan⁡α   always holds good2.     R.H.S. =sin⁡4α+sin⁡2αsin⁡2αsin⁡4α=2sin⁡3αcos⁡αsin⁡2αsin⁡4α=2sin⁡4α⋅cos⁡αsin⁡2α⋅sin⁡4α     =1sin⁡α=cosec⁡α( using π/7=α)      Hence, (b) is correct.     Also,    3 .  cos⁡2α=cos⁡2π7=−cos⁡π−5π7=−cos⁡5π7=−cos⁡5α.     cos⁡α+cos⁡3α+cos⁡5α=sin⁡3αsin⁡αcos⁡3α=sin⁡6α2sin⁡α=sin⁡6π72sin⁡π7=sin⁡π+π72sin⁡π7=124.      8cos⁡αcos⁡2αcos⁡4α=sin⁡8αsin⁡α=sin⁡8π7sin⁡π7=−sin⁡π7sin⁡π7=−1
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring
For α=π7 which of the following hold(s) good?