Consider △abc. what are the angles that make the trigonometric statements true? sin(_a_) = cos(b) sin(b) = cos(_a_)(the answers are in the question i posted lol)

Answers:

∠A=45° & ∠B=45°

Step-by-step explanation:

In triangle ABC, all angles are less than 180° but their sum is 180°

For the trigonometric statements  

sin(A)=cos(B)

sin(B)=cos(A)

These are true when these angles that are A and B are equal and on these angles the sin and cos value must be same.

Hence, both angles are of 45°

The angles that make the trigonometric statements true are

Trignometry helpd in the determination of the angle of the triangle with the sides of the triangle.  To calculate the angle, the sum of the traingle is known to be 180.

Given :

Triangle ABC.

Solution :

If  

and

than both angle A and angle B are equal and

Therefore, the angles that make the trigonometric statements true are

For more information, refer the link given below

link

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.