Read the proposition and the implication shown below. "if the lights are off, there is no one inside." which statement is a contrapositive to the proposition and logically equivalent to it?

The contrapositive switches the hypothesis and the conclusion and negates both in this form:
Statement: If A, then B
Contrapositive: If not B, then not A. 

In this case, the statement is: 
 "If the lights are off, there is no one inside."
Contrapositive:
If there is someone inside, the lights are on. 

The tangent of the angle is equal to 1.

Given

The sine and cosine of one of the acute angles in a right triangle are equal.

Tangent of the angle;

The tangent of the angle is defined as the ratio of perpendicular or base of the right-angle triangle.

The sine, cosine, and tangent of an acute angle of a right-angled triangle are defined as the ratio of two of three sides of the right-angled triangle.

The tangent angle can be represented as;

The sine and cosine of one of the acute angles in a right triangle are equal.

Therefore,

The tangent of the angle is;

Hence, the tangent of the angle is equal to 1.

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