The values of the sine and tangent of the angle are √2 / 2 and - 1. By using inverse trigonometric functions, the value of angle is 135° (3π / 4).
According to the statement, the cosine of the angle is in the second quadrant and therefore the value of the sine must be positive and the value of the tangent must be negative. Then, the value of the sine is found by the fundamental formula:
sin θ = √(1 - cos² θ)
sin θ = √[1 - (- √2 / 2)²]
sin θ = √(1 - 1 / 2)
sin θ = √(1 / 2)
sin θ = √2 / 2
And the value of the tangent:
tan θ = sin θ / cos θ
tan θ = (√2 / 2) / (- √2 / 2)
tan θ = - 1
By using inverse trigonometric functions, we find that the value of angle is 135° (3π / 4).
To learn more on trigonometric functions: https://brainly.com/question/14746686
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