Question

sin theta^2 +ces theta^2=?​

Answer 1

Answer:

The proof comes from the unit circle.

The unit circle is a circle with its center at the origin(0,0) and a radius of 1.

One can make a triangle using the center, any given point on the circle and the point on the x-axis directly below that point.

in that triangle, y is the side perpendicular to the x-axis, x is the side parallel to the x-axis, and the hypotenuse is always one due to it also being the radius.

Using SOH CAH TOA, sin(a)=y/1, and cos(a)=x/1. so any point on the unit circle can be expressed using (cos(a),sin(a)), with a being the angle formed by the line joining the point on the circle and the origin, and the x-axis.

Using pythagorean theorem and the triangle we’ve established, cos^2(a)+sin^2(a)=1, because as mentioned earlier sin and cos(a) were always equal to the length of the sides adjacent to the right angle of the triangle, with 1 being the hypotenuse.

Answer 2

Answer:

Step-by-step explanation:

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