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Monica [59]
3 years ago
13

For which acute angle are the sine of the angle and cosine of the angle equal?

Mathematics
2 answers:
cestrela7 [59]3 years ago
7 0
Your answer is 45 hope this helps c;
pogonyaev3 years ago
7 0

Answer:

45º

Step-by-step explanation:

Acute angles are the angles which are less than 90 degrees.

All the given angles are less than 90 degrees and hence are acute angles.

Now, we need to find for which obtuse angle of sine and cosine are equal.

Now, we know the relation

sin(90-\theta)=\cos\theta

So, if \theta=45^{\circ} then

sin(90-45)^{\circ}=\cos45^{\circ}\\\\sin45^{\circ}=\cos45^{\circ}

Therefore, for 45º the sine and cosine values are equal.

\sin45^{\circ}=\frac{1}{\sqrt2}\\\\\cos45^{\circ}=\frac{1}{\sqrt2}

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