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Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.

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4 votes
The sine and cosine are equal for 45 degrees.
Choose the triangle that has a 45-deg angle.
User NickLamp
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7.2k points
2 votes

Answer:

we have to consider a triangle whose acute angle measure is 45° so that the sine and cosine ratios are equal.

Explanation:

We need to consider a right angled triangle such that the measure of one of angle is 90° ,the second angle is 45° and hence the third angle could be found by using the fact that the sum of all the angles is 180°.

Hence we get the third angle measure to be 45°

( ∠1+∠2+∠3=180°

90+45+∠3=180

∠3=180-(90+45)

∠3=45° )

so in the right angled triangle if we use our trignometric identity along either angle 2 or angle 3 we get;

sin 45°=
(1)/(√(2) )

and cos 45°=
(1)/(√(2) )

Hence the sine and cosine angle are equal.

So we have to consider a triangle whose acute angle measure is 45° so that the sine and cosine ratios are equal.

Identify the triangle that contains an acute angle for which the sine and cosine ratios-example-1
User Gabriel Hurley
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6.7k points