Consider △ABC. Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 13, the length of B C is 1
2, and the length of A C is 5. What are the angles that make the trigonometric statements true? sin( ) = cos(B) sin(B) = cos( )
2 answers:
Answer:
<em>22.62°</em>
Step-by-step explanation:
Considering △ABC. If angle B C A is a right angle, then;
m<BCA = 90 degrees
Given also
AB = 13
BC = 12
AC = 5.
According to SOH, CAH TOA;
Sin <B = AC/AB
Cos <B = BC/AB
Substitute the given values
Sin B = 5/13
B = arcsin(5/13)
B = 22.62
Cos B = 12/13
B = arccos (12/13)
B =22.62
<em>Hence the angles that make sinB = cosB is 22.62°</em>
Answer:
sin(A)=cos(B)
sin(B)=cos(A)
Step-by-step explanation:
I did it, but if you're seeing this, have a good day
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