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What angle has the same sine value between 0-180? as Sin 24

A Sine 156
B Sine 123
C Sine 145
D Sine 154

Respuesta :

Answer:

[tex]Sin156[/tex]

Step-by-step explanation:

Given

[tex]Sin24[/tex]

Required

Find equivalent between 0 to 180;

Let 24 be represented by [tex]\theta[/tex]

So, [tex]\theta = 24[/tex]

From Trigonometry ratios;

[tex]Sin\theta = Sin(180 - \theta)[/tex] where [tex]0\leq \theta \leq 180[/tex]

Recall that [tex]\theta = 24[/tex]

So, we have to substitute 24 for [tex]\theta[/tex] in the above expression.

This gives

[tex]Sin24= Sin(180 - 24)[/tex]

Subtract 24 from 180

[tex]Sin24= Sin156[/tex]

Hence, the equivalent of [tex]Sin24[/tex] is [tex]Sin156[/tex]

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