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That is not correct: they are always LESS-THAN-OR-EQUAL to 1. They are also always greater-or-equal to minus 1.
The fact that this is so follows directly from the definition. Two different definitions are commonly used:
1) The sine is the y-coordinate of a unit circle (a circle of radius 1, with center at coordinates (0, 0)). The cosine is the x-coordinate of the same circle. The highest point on the circle has the y-coordinate 1 (at 90 degrees).
2) In a right triangle, the sine is the side opposite to the angle considered, divided by the hypothenuse. The hypothenuse is of course longer than the other sides (except in the extreme case of 0 or 90 degree angles - this would not be properly called a triangle).
What else can I help you with?
Which trigonometric functions always have values less than 1?
The sine and the cosine are always less than one.
What is cosine squared theta equal to'?
Cosine squared theta = 1 + Sine squared theta
Why is the sine and cosine of a number no less than 1 and no greater than 1?
lol! it can be less than 1 too, upto -1! it cannot be greater than 1 because hypotenuse is always longer than the adjacent and opposite side... (from pythagoras theorem)
What is the reciprocal of a tangent?
Reciprocal of tangent is '1 /tangent' or ' Cosine / Sine '
Why sinθ value is less then and equal to one?
If you look at the definition of the sine function in a triangle, you'll discover that the maximum possible value of the sine function is ' 1 ' and the minimum possible value is ' -1 '. There's no angle that can have a sine greater than ' 1 ' or less than ' -1 '. So the absolute value of the sine of anything is always ' 1 ' or less.
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 .
Which trigonometric functions always have values less than 1?
The sine and the cosine are always less than one.
How do you find the max and min of sine cosine functions?
The maximum of the sine and cosine functions is +1, and the minimum is -1.
Do the equations sine plus cosine and sine squared plus cosine squared both equal 1?
No, they do not.
Why are the sine and cosine of an angle always less than 1?
Since the hypotenuse (denominator) is always greater than the opposite or adjacent side (numerator), the ratio will always be smaller than one.
What is cosine squared theta equal to'?
Cosine squared theta = 1 + Sine squared theta
What is cosine 0?
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).
What is cosine of 3?
Undefined!!!! Can't answer it! All sine and cosine values are between -1 and 1 !!!
How are sine and cosine and secant related?
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
Why does cosine graph always start at 1?
Because it is the 'Complimentary' Sine curve. , hence the name 'CoSine'.
What is the sine of 45 degress?
√ 1/2 = sine(45)= cosine(45) -Key
Why is the sine and cosine of a number no less than 1 and no greater than 1?
lol! it can be less than 1 too, upto -1! it cannot be greater than 1 because hypotenuse is always longer than the adjacent and opposite side... (from pythagoras theorem)
