How do you know when to use the Secant-Secant Product Theorem or the Secant-Tangent Product Theorem?
1 answer:
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There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.
We'll do the sine trig. identity, as it is the most effective.
Given an angle '
' in a right triangle, '
' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.
So, for this setup:
Now, we solve for x:
So, answer is 3.4
We'll do the sine trig. identity, as it is the most effective.
Given an angle '
So, for this setup:
Now, we solve for x:
So, answer is 3.4
The question provides the measures of two angles, (one of which contains
a variable), and the relationship between the angles.
The value of <em>x</em> is <u>6 degrees</u>
Reason:
The given parameters are;
The base angles of the isosceles triangles are; 61° and (7·x + 19)°
Required:
To find the value of <em>x</em>
<em />
Solution:
By definition of an isosceles triangle, we have;
The base angles of an isosceles triangle are equal, therefore;
(7·x + 19) = 61
Which gives;
The value of<u> </u><u><em>x</em></u><u> = 6</u>
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