To find the angle at which the value of tan A is double the value of tan 26°, we need to find the value of tan 26° and then find the angle whose tangent is double that value.
First, let's find the value of tan 26°.
Using a calculator, we find that tan 26° is approximately 0.4877.
To find the angle whose tangent is double that value, we can use the inverse tangent function.
Let's call the angle we're looking for B.
tan B = 2 * tan 26°
Using the inverse tangent function, we have:
B = arctan(2 * tan 26°)
Plugging in the value for tan 26°, we have:
B = arctan(2 * 0.4877)
Using a calculator, we find that B is approximately 44.3°.
Therefore, the angle measure at which the value of tan A is double the value of tan 26° is 44.3°.
The answer is d. 44.3°.
In a right triangle, angle A is 26°. If that angle is increased, at which angle measure will the value of tan A be
double the value of tan 26°?
c. 45.4"
a. 42.8°
d. 44.3°
b. 47.5°
1 answer
1 answer