UNKNOWNbabe25
UNKNOWNbabe25 UNKNOWNbabe25
  • 21-09-2021
  • Mathematics
contestada

evaluate the following.
(iii) sin 30° + tan 40° - cosec 60° / cot 45° + cos 60° - sec 30°​

evaluate the following iii sin 30 tan 40 cosec 60 cot 45 cos 60 sec 30 class=

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hnori22003
hnori22003 hnori22003
  • 21-09-2021

Sin 30 = 1/2

tan 45 = 1

Cosec 60 = 2 / √3 = 2√3 / 3

cot 45 = 1

Cos 60 = 1/2

sec 30 = 2 / √3 = 2√3 / 3

_______________________________

[ 1/2 + 1 - 2√3/3 ] ÷ [ 1 + 1/2 - 2√3/3 ] = 1

The face and denominator of the fraction are exactly the same thus the answer is 1 .

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