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3 years ago

Which statement best explains why the sine of an acute angle is equal to the cosine of the angles complement

Mathematics

1 answer:

Anna71 [15]3 years ago

3 0

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

ΔABC is a right triangle.

Cosine and Sine ratios from the given triangle will be,

SinA = $\frac{\text{Opposite side}}{Hypotenuse}$

= $\frac{a}{c}$

CosB = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{a}{c}$

Therefore, both the ratios (Sine and Cosine) will be equal as $\frac{a}{c}$

Option (B) will be the correct option.

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