Table of Contents
Can the sin x ever be a value greater than 1 explain?
No. The range of function sin x is [-1,1]. Thus, sin x can have values from -1 to 1 but cannot have value less than -1 and more than 1. SIn and Cos values can’t be greater than 1 because limits of Sin and Cos functions are from -1 to 1 so they can’t exceed 1.
What is the limit sin 1 x?
Thus, the limit of sin(1x) sin ( 1 x ) as x approaches 0 from the left is −0.994 .
Is sin 1 x less than 1?
What you’ll notice is that the graph of sin(x) is that you keep the same shape between -1 to 1. Now graph (sin(1/x)) you’ll notice that no matter how far you zoom out it never goes above or below 1 or -1 respectively.
Can sine of an angle 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.
What does sin 1x mean?
sin-1x means the same as arcsin x, i.e., the arc whose sine is x.
Is sin 1 x bounded?
The function f(x)=sin(1/x) is bounded simply because −1≤sinθ≤1 for any real θ.
What is the value of sin inverse 1?
Value of the Inverse of Sin 1 (Sin -1 1) Since the inverse of sin-1 (1) is 90° or π/2, the maximum value of the sine function is denoted by ‘1’.
Why is sin less than 1?
The simple reason is that the length of the sides of a right triangle are always less than the length of the hypotenuse. So, the ratio of any side and hypotenuse is always less than 1.
What is the range of sin x?
The range of function sin x is [-1,1]. Thus, sin x can have values from -1 to 1 but cannot have value less than -1 and more than 1. SIn and Cos values can’t be greater than 1 because limits of Sin and Cos functions are from -1 to 1 so they can’t exceed 1.
Why can’t we find the limit of sin(H)?
To understand why we can’t find this limit, consider the following: We can make a new variable h so that h = 1 x. As x → 0, h → ∞, since 1 0 is undefined. So, we can say that: As h gets bigger, sin(h) keeps fluctuating between −1 and 1.
Can the value of sin and cos 1 be greater than 1?
[Eulers identity] no, the value of sin and cos can’t be greater than 1 as these are the ratios having hypotenuese as the denominator and as in an right angle triangle the hypotenuese is the longest side the value of sin and cos can’t be greater than 1. there’s reason sine or cosine is ratio of any side with side opposite to right angle.
Is it possible for sin to be more than 1?
Yes it can be. From the definition of and which is and respectively. If or then only sin or cos will be more than 1.