Question
Select the correct answer from each drop-down menu. Consider right triangle ABC. sin(A)=square v cos(A)=square =square square 40/41 9/41 40/9
Answer
4.1
(329 Votes)
Benedict
Advanced · Tutor for 1 years
Answer
To solve for the sine and cosine of angle A in right triangle ABC, we can use the definitions of sine and cosine in a right triangle:- Sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.- Cosine of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.Given:- Triangle ABC is a right triangle with ∠B = 90°.- AC (the hypotenuse) = 41.- AB (adjacent to angle A) = 40.- BC (opposite to angle A) = 9.Step 1: Calculate sin(A)Using the definition of sine:
Step 2: Calculate cos(A)Using the definition of cosine:
Answer: