TRIGONOMETRIC IDENTITIES AND EQUATIONS Verifying a trigonometric identity Complete the proof of the identity by choosing the Rule that justifies each step (1 +tan2x)cot2x=csc2x To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Rule Statement ( 'x)cot's 1 tan 2 2 Rule? = sec x cot x cot x Rule? 2 cOS x 2 COS x Rule ? 2 sin x cOS x 1 Rule ? 2 sin x Rule Algebra Reciprocal Quotient Pythagorean Odd/Even Check Explanation TRIGONOMETRIC IDENTITIES AND EQUATIONS Мax Verifying a trigonometric identity Esp Complete the proof of the identity by choosing the Rule that justifies each step (1+t tan x) cotxcsc2x To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Rule Statement (1+lan's)co 2 2 tan xcot x sec'x cot x Rule? = 1 cot x Rule? 2 COS x 2 cOS x Rule? 1 2 2 sin x COS x 1 Rule? = 2 sin x 2 = CSC csc x Rule? ? X
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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