Answered

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Which of the listed values are equal to the sine of C A.)b/a B.)c/a C.)c/b D.)cos B E.)5.Cos C F.)cos (90°-C) G.)cos(90°-B)

Sagot :

Answer:

Sine of C=?

Among the given options which is the correct one.

Step-by-step explanation:

Consider a right-angle triangle ABC.

[tex]angle B=90^{0}[/tex]

In a right angle triangle, one angle [tex]90^{o}[/tex].

The sum of all the angles is [tex]180^{o}[/tex].

[tex]angle A +angle B+angleC=180^{0}angleA+90^{0} +angle C=180^{0}\\angleA+angleC=180^{0} -90^{0} \\angleA+angleC=90^{0} \\angleA=90^{0} -angle C[/tex]

Consider the trigonometric ratios and use the traingle ABC.

[tex]SinC=\frac{AB}{AC}[/tex]

[tex]CosA=\frac{AB}{AC}[/tex]

[tex]angleA=angle(90-C)\\Hence,\\SinC=Cos(90-C)[/tex]

Answer:

OptionF).[tex]Sine of C=Cos(90^{0} -C)[/tex]

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