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max2010maxim [7]
3 years ago
14

Evaluate 2 sin 60° + tan 45° + cos²60°​

Mathematics
2 answers:
VikaD [51]3 years ago
7 0

Answer:

\boxed{\sf 2sin \: 60 ^{ \circ}  + tan \: 45^{ \circ}  +  {cos}^{2} \ 60^{\circ} = 2.98}

Step-by-step explanation:

We know:

\sf sin  \: 60 ^{ \circ}  =  \frac{ \sqrt{3} }{2}  \\  \\  \sf tan \: 45 ^{ \circ}  = 1 \\  \\  \sf cos \: 60 ^{ \circ}  =  \frac{1}{2}

So,

\sf \implies 2sin \: 60 ^{ \circ}  + tan \: 45^{ \circ}  +  {cos}^{2}  \: 60^{ \circ}  \\  \\  \sf \implies  \cancel{2} \times  \frac{ \sqrt{3} }{ \cancel{2}}  + 1 +  {( \frac{1}{2}) }^{2}  \\  \\  \sf \implies  \sqrt{3}  + 1 +   {( \frac{1}{2}) }^{2}  \\  \\  \sf \implies  \sqrt{3}  + 1 +  \frac{1}{4}  \\  \\   \sf \implies  \sqrt{3}  + 1 + 0.25  \\  \\  \sf \implies 1.25 +  \sqrt{3}    \\  \\  \sf \implies 1.25 + 1.73  \\  \\  \sf \implies 2.98

DerKrebs [107]3 years ago
3 0

Answer:

1.25+√3 or 2.9821 to the nearest ten thousandth.

Step-by-step explanation:

sin 60 = √3/2,  tan 45 = 1 and cos^2 60 = (1/2)^2 = 1/4

So we get 2 *√3/2 + 1 + 1/4

= √3 +  1.25

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