Answer:
(A) cos [tex]\theta[/tex] = -0.9664
[tex]cos \theta =-0.9659[/tex]
Step-by-step explanation:
Given
[tex]sin \theta = 0.259 \:and;\\ tan \theta = -0.268[/tex]
Sine is Positive and Tangent is Negative in Quadrant II.
In Quadrant II, Cosine is also Negative.
[tex]sin \theta = 0.259 \\\theta=arcsin 0.259=15.01^\circ\\$Therefore in Quadrant II:\\cos \theta =-cos\:15.01^\circ =-0.9659[/tex]
Closest Option is A.
