Question

The angles (3a/5-30) & (5a/3 - 35) are
complementary angles. Find the value of a and the
angles.​

Answer 1

Answer:

Sec 5A = cosec (A-30)

A < 90 deg.

we know cosec B = sec(90-B) 

so   cosec(A - 30) = sec(90 - (A-30))

 so  sec (120-A)  =  sec (5A)

so   either  120 - A = 5A       or    120 - A  = - 5A

so               A = 20°    or   -30° or 330°

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