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Luetta Luetta
  • 29-03-2014
  • Mathematics
Answered

Compute without using a calculator.

2 sin 765◦ + tan 1485◦ cot 135◦

Verified Answer :

wblanco4600 wblanco4600
  • 29-03-2014

765° = 45°
1485° = 45°

We get 2sin(45°) + tan(45°) + cot(135)

sin(45) = sqrt(2)/2
tan(45) = 1
cot(135) = -1

we get
2*[sqrt(2)/2)] + (1) + (-1)

= sqrt(2)

Answer Link
Anonymous Anonymous
  • 29-03-2014

\(2sin765^o+tan1485^ocot135^o\\\\=2sin(2\cdot360^o+45^o)+tan(8\cdot180^o+45^o)cot(90^o+45^o)\\\\=2sin45^o+tan45^o\cdot(-tg45^o)\\\\=2\cdot\frac{\sqrt2}{2}+1\cdot(-1)=\sqrt2-1\)

Answer Link

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