The value of tan(x) is if cos(x) = -3/10 and the angle is in the second quadrant i.e. quadrant II
<h3>How to determine the value of tan(x)?</h3>
The expression is given as:
cos(x) = -3/10
Using the following trigonometry identity:
sin²(x) + cos²(x) = 1
The equation become
sin²(x) + (-3/10)² = 1
Evaluate the exponent
sin²(x) + 9/100 = 1
Subtract 9/100 from both sides
sin²(x) = 91/100
Take the square root of both sides
Sine is positive in quadrant II.
So, the tangent is calculated using:
This gives
Evaluate
Hence, the value of tan(x) is
Read more about trigonometry ratios at:
brainly.com/question/11967894
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