The measure of angle F is 64°
Trigonometry is the branch of geometry that relates the sides of a triangle with its angles.
Trigonometric functions are sine, cosine, tangent etc.
Analysis:
In a right angle triangle if angle E and angle F are other two angles of the triangle. it then means the opposite of angle E is the adjacent of angle F and the opposite of angle F is the adjacent of angle E.
which means angle E = 90 - F
for cos∠E = sin∠F, then E = 90 - F
F = 90 - E = 90 - 26 = 64°
In conclusion, the measure of ∠F is 64°
Learn more about trigonometry: brainly.com/question/24349828
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