How many millimeters are there in 2 kilometers
2 answers:
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If cos x= sin(20 + x)° and 0° < x < 90° then value of x is 35 degrees
<em><u>Solution:</u></em>
Given that:
We know that,
Taking cos x as common,
By trignometric functions,
sin 20 = 0.34202
cos 20 = 0.939692
So,
Therefore,
x = arc tan (0.7002)
x = 35 degrees
Therefore value of x is 35 degrees
<h3><u>Method 2:</u></h3>cos x = sin (20 + x)
sin and cos are co - functions, which means that:
cos x = cos [90 - (20 + x)]
cos x = cos (90 - 20 - x)
cos x = cos (70 - x)
Therefore, x = 70 - x
x + x = 70
2x = 70
x = 35
Therefore value of x is 35 degrees