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The sine and cosine of acute angles are equal only for 45°

sin45° = cos 45° = 1/sqrt(2) = 0.7071

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9y ago

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What is the relationship between the sine of an angle and cosine of the other acute angle in the same triangle?

In a right triangle, the sine of one acute angle is equal to the cosine of the other acute angle. This relationship arises from the definitions of sine and cosine: for an angle ( A ), ( \sin(A) ) is the ratio of the length of the opposite side to the hypotenuse, while ( \cos(B) ), where ( B ) is the other acute angle, is the ratio of the length of the adjacent side to the hypotenuse. Since the two angles are complementary (summing to 90 degrees), this relationship can be expressed as ( \sin(A) = \cos(90^\circ - A) ).


How is the value of sine and cosine of complementary angles relate?

The sine and cosine of complementary angles are related through the identity (\sin(90^\circ - \theta) = \cos(\theta)) and (\cos(90^\circ - \theta) = \sin(\theta)). This means that the sine of an angle is equal to the cosine of its complementary angle, and vice versa. Therefore, for any angle (\theta), the values of sine and cosine are essentially swapped when considering complementary angles.


How do you find sides of right triangle given only the hypotenuse and all angles?

One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).


Do the equations sine plus cosine and sine squared plus cosine squared both equal 1?

No, they do not.


Which angle has a negative sine and a positive cosine?

All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.


Does tangent of x equal cosine divided by sine?

No, it does not.


What is cosine squared theta equal to'?

Cosine squared theta = 1 + Sine squared theta


How do you work out the angles in a triangle with only 3 sides and no angles?

use the inverse sine or cosine or tangent


What does sin mean in trig?

its short for sine. theres sine, cosine, and tangent. sine is opposite over adjacent for the sides of a triangle (or angles)


What is the six trigo function of acute angle?

Sine, Cosine, Tangent, Cosecant, Secant, Cotangent.


Why are the sine and the cosine of an acute angle always less than 1?

Well, the easiest way to go at it is simply to remember thatthe sine and cosine of any angle are always less than 1 .


How do you solve for a triangle with two angles but no lengths?

you can use the sine, cosine, tangent formula.