What is the relation between sin theta and cos theta?

Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .

What is nature of values of sin theta and cos 90 Theta?

the value of sinΘ and cos(90-Θ) are the same. we write Sin Theta = Cos (90 – Theta) and Cos Theta = Sin (90 – Theta). 30 and 60 are the complimentary angles. The inverse is also true.

Why is the sin of 90 degrees 1?

When the angle is 90° that point on the circle is as far as it can get from the x-axis: 1 unit. So the sine is 1. And because the tangent line doesn’t touch the x-axis, the tangent and secant of the angle are undefined.

What do you call the relationship formed by two angles whose sum is 90?

Two angles are called complementary when their measures add to 90 degrees.

Why is the cosine of 90, 0?

sine/cosine/tangent are designed to find ratios within right triangles. In order for us to ever get cosine(90°), that means we’d need a a triangle with two right angles: (γ = 90°, α = 90°, β = 0). As you can see, such a triangle cannot theoretically exist and would be rendered as a straight line.

Why is sin 90 1?

sin(90) is equal to 1 because you are taking the opposite of the angle over the hypotenuse, and in this situation it just happens to be the same number.

What is the sin of 90 degrees?

Sin 90 degrees is equal to one. This degree value can also be expressed in radians as sin(?/2) = 1. This value of the sine function corresponds to one-fourth of the complete arc distance along the unit circle.

What is tan of 90 degrees?

For cot cot 0° = 1 / tan 0° = 1/0 = Not Defined = ∞ cot 30° = 1 / tan 30° = 1/ (1/√3) = √3 cot 45° = 1 / tan 45° = 1/1 = 1 cot 60° = 1 / tan 60° = 1/√3 cot 90° = 1 / tan 90° = 1/∞ = 0