Why is the sine of 90 degrees 1?

Start measuring the angles from the first quadrant and end up with 90° when it reaches the positive y-axis. Now the value of y becomes 1 since it touches the circumference of the circle. Therefore the value of y becomes 1. Therefore, sin 90 degree equals to the fractional value of 1/ 1.

What is sin 90 on a unit circle?

sin(90)=11.

What is the sin of 90 in degrees?

1
What is Sin 90 Degrees? Sin 90 degrees is the value of sine trigonometric function for an angle equal to 90 degrees. The value of sin 90° is 1.

Why is 90 degrees not a trigonometric ratio?

The answer is that the trigonometric ratios are defined only for the non-right angles of a right triangle. SteamKing said: The cosine of 90 degrees is zero and the tangent of 90 degrees is infinite.

How do you sin 90 Theta?

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).

How do you find trigonometric values over 90 degrees?

One way to think about angles greater than 90∘ is with Cartesian co-ordinates with x and y axes (so some of x and y values can be negative, but the radius or hypotenuse to the origin is non-negative) and the angle is measured anti-clockwise from the x axis.

Why tan 90 is infinity?

In this definition the tan of the angle is the opposite side to the angle divided by the adjacent side to the angle. You can’t have a triangle with a second 90° angle so tan (90°) is undefined. Since any angle having 90° will be on the y-axis, x will be zero. Division by zero is undefined therefore so is tan (90°).

Why is sin theta 1?

⇒ θ = (4n + 1)π2. Hence, the general solution of sin θ = 1 is θ = (4n + 1)π2, n ∈ Z. Therefore, either, 2 sin x + 3 = 0 ⇒ sin x = – 32, Which is impossible since the numerical value of sin x cannot be greater than 1. We know that the general solution of sin θ = 1 is θ = (4n + 1)π2, n ∈ Z.