Why are sin and cos values always less than 1?

Why are sin and cos values always less than 1?

the value of sin and Cos is always less than 1 because sin is equals two perpendicular ÷ hypotenuse and perpendicular is always smaller than hypotenuse so it is not possible that sin is greater than 1 same case in cos also cos is equals to base divided by hypotenuse and base is always smaller than hypotenuse so it is …

Is Sinx always less than 1?

From geometry its clear that, hypotenuse is always greater than other sides of Right angled triangle. Since denominator is always greater than numerator, Sin x and Cos x have values less than 1.

Can a sine value be greater than 1?

A = 1 is if a = c, but that would make for a strange triangle!), the sine ratio cannot be greater than 1. Figure 20.4 A right triangle with side lengths a and b, and hypotenuse length c.

Can cosine have a value greater than 1?

The sine and cosine ratios of an angle cannot be greater than 1.

Why do Secant and Cosecant always have to be greater than 1?

The hypotenuse of a right triangle is always the longest side, so the numerator of this fraction is always larger than the denominator. As a result, the cosecant function always produces values bigger than 1. These two sides have to be the two legs, because the hypotenuse has to have the longest side.

Why can tan be greater than 1?

Why the Tangent Function Can be Greater Than 1, But the Sine and Cosine Functions Cannot. Regardless of the angle for which you evaluate tangent, cosine, or sine, you can always think of it as the ratio of two sides of a right triangle. For the tangent function, you can divide the opposite side by the adjacent side.

What value can sine and cosine never exceed?

The value of sine and cos never exceed 1,where as the value of sec and cosec are always greater than or equal to 1 .

Why is the maximum value of sin 1?

As sine of the angle 90° is 1, it is equal to the function sin 1. So, the inverse function of sin 1 is denoted as 90° or π/2. It is the highest value of the sine function.

Why the cosine ratio can never be greater than 1?

Note: Since the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse, the values will never be more than 1, because (some number) / (a bigger number) from a right triangle is always going to be smaller than 1.

Why is Secant 1 over cosine?

The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x . = tan 5π 4 . Thus, sec x and tan x have the same domains.

Can the value of secant of an angle be greater than 1?

(v) sinθ = 4/3 for some angle θ. As hypotenuse is the largest side, the ratio on RHS will be greater than 1. Hence, the value of sec A is always greater than or equal to 1.

Why is the sine of an angle never greater than 1?

https://www.youtube.com/watch?v=OWPmBLykq7o