Mathematics: Which of the following statements is true?

Which of the following statements is true? - id4673998, marxusalexander6552

duauifja

16.01.2022

Step-by-step explanation:

If x° and y° are complementary angles, then x°+y°=90° and

$\sin x^{\circ}=\cos y^{\circ} \ [\text{Cofunctions rule}]$

Check all options:

A. 18°+72°=90°, so

$\sin 18^{\circ}=\cos 72^{\circ}\ [\text{true}]$

B. 55°+55°=110°, these angles are not complementary and

$\sin 55^{\circ}\neq\cos 55^{\circ}\ [\text{false}]$

C. 72°+18°=90°, so

$\sin 72^{\circ}=\cos 18^{\circ}\ [\text{true}]$

D. Both A and C are true.

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