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The value of tangent theta is equal to the negative 1. At this value the value of secant theta is .
<h3>What is tangent theta?</h3>
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,
Given information-
The value of tangent theta is equal to the negative 1.
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,
The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,
Simplify it further as,
When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of . Which extent to the
for the cosine function.
In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,
Thus the value of secant theta is
Learn more about the tangent theta here;
Let's use the line on the right side. In the smaller triangle, the length is 4. The same side on the bigger triangle is 12. The ratio of the smaller triangle to the bigger triangle is:
To find a side length for the bigger triangle, all you need to do is multiply by 3. The same side on the smaller triangle is 5. Multiply by 3
That means x = 15