sin theta^2 +ces theta^2=?
Answers
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:
Step-by-step explanation:
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