Why is sin 90 theta equal to cos theta?

Patterns of right triangles. All triangles have 3 angles that add to 180 degrees. Therefore, if one angle is 90 degrees we can figure out Sin Theta = Cos (90 – Theta) and Cos Theta = Sin (90 – Theta).

Is Sin 90 theta is equal to cos theta?

Sin (90 – Theta) is equal to Cos Theta.

What is the relationship between the sine and cosine of complementary angles and why is this relationship true?

You just verified the Complementary Angle Theorem: The sine of an angle is equal to the cosine of its complementary angle, and the cosine of an angle is equal to the sine of its complementary angle.

Is Cos 90 a equal to sin a?

∴cos(90∘−a)=sina .

What is the value of cos 90 a?

Cosine Trigonometric Ratios Table. The values for Cos and Sin can be derived from each other as: Sin 0 = Cos 90. Sin 30 = Cos 60.

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