The value of cos 67.4° is 5/13.
According to trigonometric identities used in mathematics, sin of an angle is equal to cos of 90 - the given angle. Mathematically, this means that, suppose we have an angle x, then-
sin(90 - x) = cos x
Here, we are given that sin 22.6° = 5/13. As we can observe that (90 - 67.4) is equal to 22.6, and we need to find the value of cos 67.4° only. Thus we can write the given equation as follows-
sin22.6° = sin(90 - 67.4°)
= cos 67.4°
Thus, sin 22.6° = cos 67.4°
Hence, cos 67.4° = 5/13
Thus, the value of cos 67.4° comes out to be 5/13.
Learn more about trigonometric identities here-
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Jack has a cake and another half of a cake, Jill has 2 and 2/3rds cakes, Blake has 3 and 2/3rds of a cake, Peter has 4 and 2/3rds of a cake, and Daniel has 2 and a half cakes. How many cakes do they have in total?
1+1/2+2+2/3+3+2/3+4+2/3+2+1/2 = 6/6 (finding the least common multiple of 1, 2, and 3)+3/6+12/6+4/6+18/6+4/6+12/6+3/6= 90/6=15 cakes
360 because you multiply 8 x 5 x 9
