What is cosec x equal to?
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 .
What is cosec 0 value?
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The value of cosec 0° is undefined.
Is cosec Theta always less than 1?
In a right angled triangle, the hypotenuse is always the largest side. Hence, both sine and cosine will have values less than 1. As cosecant and secant are the reciprocals of sine and cosine respectively, their values will always be greater than 1.
What is cosec rule?
Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.
How do you differentiate cosec X?
Differentiation of cosec x is -cot x cosec x….To derive the derivative of cosec x, we will use the following formulas:
- d(sin x)/dx = cos x.
- cos x /sin x = cot x.
- 1/sin x = cosec x.
What is derivative of cosec X?
The derivative of cosec x is −cot x cosec x.
What is the value of cosec?
Trigonometry Values Table
| Angle | 00 | 450 |
|---|---|---|
| Tan θ | 0 | 1 |
| Cot θ | ∞ | 1 |
| Sec θ | 1 | √2 |
| Cosec θ | ∞ | √2 |
Does CSC 0 equal infinity?
According to the trigonometry, the cosecant of zero degrees is equal to infinity. The exact value of cosecant of zero degrees can be derived in three distinct mathematical approaches.
Why is it that cosecant and Secant should 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.
Can the value of CSC be less than 1?
The cosecant is the reciprocal of the sine. Wherever the sine is positive but less than 1, the cosecant will be positive but greater than 1; wherever the sine is negative but greater than –1, the cosecant will be negative but less than –1.
What is derivative of Cscx?
What is Derivative of Cosec x? The differentiation of cosec x with respect to angle x is written as d(cosec x)/dx = (cosec x)’ = -cot x cosec x. Derivative of cosec x can be calculated using the derivative of sin x.