Trigonometry!

Geometry Level pending

Solve the following identities:

  • A = cos ⁡ ( 4 5 ∘ ) A = \cos (45^{\circ}) to the nearest thousandth.
  • B = sin ⁡ ( 4 5 ∘ ) B = \sin (45^{\circ}) to the nearest hundredth.

What is A + B A+B ?

1.418 1.414 1.417 Other 1.404

Micah Gadbois by Micah Gadbois , 15, USA

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1 solution

Micah Gadbois
Jul 31, 2017

The cosine of 45 45 degrees is √ 2 2 \frac{\surd2}{2} . (Draw isosceles right triangle, then use SOH CAH TOA to solve)

Also, the sine of 45 45 degrees is √ 2 2 \frac{\surd2}{2} . (Draw isosceles right triangle)

So, the cosine of 45 45 degrees + the sine of 45 45 degrees = 0.707 0.707 + 0.71 0.71 (rounding) = 1.417 1.417

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