As seen, x = y = 6, and so, this is an ISOSCELES right triangle. 

This means that ∡s A and B are 45o each, and 2(45o) = 

NO NEED to CALCULATE ANYTHING!! 

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!
 


There is indeed no need to calculate anything; but the two angles are not each 45 degrees.  (sin(45) is not 6/13....)


We are given sinA = 6/13 and secB = 13/6.  We then know that cosB = 6/13.


So we have an angle A whose sine is the same as the cosine of another angle B.


Picture a right triangle with A and B as the acute angles.  Then the basic definition of sine and cosine tells us that the sine of one of the angles is the cosine of the other.


So, because we have two angles with the sine of one being equal to the cosine of the other, we know the angles are the acute angles of a right triangle; therefore their sum is 90 degrees. 

RELATED QUESTIONS

If sin A=6÷13 and sec B=13/6 then A+B is equal to 
Show solution without calculator... (answered by greenestamps)

Compare a and b,if:
150% of A is equal to $120   and  120% of B is equal to... (answered by MathLover1)

Q= if cos A/cos B = a , sin A/sin B = b , then sin^2 B is equal to... (answered by JBnovelwriter)

if A+B=90;SinA=3/4 then... (answered by Edwin McCravy)

which equation is true ?
A) sin 30 degrees=sin 60 degrees
B) sin 45 degrees = cos 45... (answered by Alan3354)

If angle A is {{{ 45 }}} degrees and angle B is {{{ 60 }}} degrees.

Find sin(A)cos(B)
 (answered by Apples_21)

If cos α / cos β = a, sin α / sin β = b, then sin²β is equal... (answered by ikleyn)

If (x-2) is one factor of the polynomials x²+ax-6 and x²-9x+b, then a+b is equal... (answered by TimothyLamb)

if Sec(theta)=-13/6 and Tan(theta)=>0 find sin(theta)
A.7/13
b.-7/13
c.  - (√... (answered by ewatrrr)