Mathematics

Question

write sin 33° in terms of cosine

2 Answer

  • Cos 57 it has to add up to 90
  • Answer:  [tex]\sin 33^\circ=\cos 57^\circ.[/tex]

    Step-by-step explanation:  We are given to write sin 33° in terms of cosine.

    We know that

    The sine of any acute angle is equal to the cosine of its complement.

    Now, the complement of an acute angle with measurement 33° is given by

    [tex]90^\circ-33^\circ=57^\circ.[/tex]

    Therefore, the sine of an angle with measurement 33° is equal to the cosine of an angle with measurement 57°.

    Thus, we can write as follows :

    [tex]\sin 33^\circ=\cos 57^\circ.[/tex]

    Hence, [tex]\sin 33^\circ=\cos 57^\circ.[/tex]

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