Why is secant greater 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.

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.

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

Therefore, from (A) we get the values of sin θ and cos θ cannot be greater than 1. Therefore, it is clearly seen that the values of csc θ and sec θ can never be less than 1.

What is the relationship between secant and cosecant?

The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine.

Is cosecant even or odd?

Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd. Even and odd properties can be used to evaluate trigonometric functions.

Why is secant 1 over cosine?

Originally Answered: Why is secant the reciprocal of cosine? The secant is simply defined as the reciprocal of a cosine. Cosine is (adjacent/hypotenuse) and secant is (hypotenuse/adjacent.) Things get a little more tricky with the cotangent (cot).

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 can sin 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.

Is the secant function symmetric?

The cosine and secant functions are symmetric about the y-axis.