Question

(1 - cos θ). (1 + cot²θ). (1 + cosθ), is:
a). 4 b). 3
c). 2 d). 1

#APEX GUIDE FOR ALIGARH MUSLIM UNIVERSITY ENTRANCE TEST

Answer 1

HELLO DEAR,


we know that:-

sin²theta+cos ²theta=1

and.

1+cot²theta=cosec²theta


(1-COSTHETA) (1+cot²theta) (1 + costheta)

=> (1-cos²theta)(1+cot²theta)

=> sin²theta × cosec²theta

=> sin²theta ×1/sin²theta

=> 1

hence option (d) 1 is correct


I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

HEYA MATE!!!

IDENTITY USED ==>
1.(a-b) (a+b) ==>(a²-b²)
2.(1-cos²@)==>sin²@
3.(1+cot²@)==>cosec²@

(1-cos@).(1+cot²@).(1+cos@)
==>(1-cos²@).(cosec²@)
==>(sin²@).(1/sin²@)
==>1

HENCE, D IS THE CORRECT OPTION.

#KEVIN

HOPE IT HELPS YOU ☺☺☺

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