Question

sin(4x-35)degrees = 1/2 then find x value (4x-35)degree is an acute acute angle​

Answer 1

$\bold{EXPLANATION\: :}$ In this type of numericals, we have to be always careful in case of R. H. S. Here, R. H. S. is 1/2. This "1/2" also represents sin 30°. So, we will replace 1/2 by sin 30°. Afterwards, we can cancel out "sin" from both sides and we can calculate the value of "x" easily.

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$\underline\bold{\huge{SOLUTION \: :}}$

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Given, sin (4x-35) = 1/2

Or, sin (4x-35) = sin 30°

Or, 4x-35 = 30°

Or, 4x = (30+35)°

Or, x = (65/4)°

Or, x = 16.25°