Answered

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The expression sin 57° is equal to

(1) tan 33°

(3) tan 57°

(2) cos 33°

(4) cos 57°

Sagot :

MrRoyal

Answer:

[tex]cos(33^{\circ})[/tex]

Step-by-step explanation:

Given

[tex]sin(57^{\circ})[/tex]

Required

Determine an equivalent expression

In trigonometry:

[tex]sin(\theta)= cos(90^{\circ} - \theta)[/tex]

In [tex]sin(57^{\circ})[/tex]

[tex]\theta=57^{\circ}[/tex]

Substitute [tex]57^{\circ}[/tex] for [tex]\theta[/tex]

in [tex]sin(\theta)= cos(90^{\circ} - \theta)[/tex]

[tex]sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})[/tex]

[tex]sin(57^{\circ})= cos(33^{\circ})[/tex]

Hence, the equivalent expression is: [tex]cos(33^{\circ})[/tex]

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