Find sin (45+theta) - cos (45-theta) ... ?

Question

Joey Chang

Mathematics

25 April, 05:15

Find sin (45+theta) - cos (45-theta) ... ?

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Cedric Bernard · Answer 1

Sin (45° + t) - cos (45° - t) =

= sin 45° cos t + cos 45° sin t - (cos 45° cos t + sin 45° sin t) =

= sin 45° cos t + cos 45° sin t - cos 45° cos t - sin 45° sin t =

(sin 45° = √2/2, cos 45° = √2/2) =

= √2/2 cos t + √2/2 sin t - √2 / 2 cos t - √2/2 sin t = 0