Question

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)

Answer 1

Answer:

Sine of C=?

Among the given options which is the correct one.

Step-by-step explanation:

Consider a right-angle triangle ABC.

$angle B=90^{0}$

In a right angle triangle, one angle $90^{o}$.

The sum of all the angles is $180^{o}$.

$angle A +angle B+angleC=180^{0}angleA+90^{0} +angle C=180^{0}\\angleA+angleC=180^{0} -90^{0} \\angleA+angleC=90^{0} \\angleA=90^{0} -angle C$

Consider the trigonometric ratios and use the traingle ABC.

$SinC=\frac{AB}{AC}$

$CosA=\frac{AB}{AC}$

$angleA=angle(90-C)\\Hence,\\SinC=Cos(90-C)$

Answer:

OptionF).$Sine of C=Cos(90^{0} -C)$