Question

10) Given sin 0 = 0.259 and tan 0 = -0.268,
determine cos 0. Keep your answer rounded
to four decimal places.
ERIES
S
TU
A) cos 0 = -0.9664
REST
B) cos 0 = 0.9664
TERET
C) cos 0 = -0.9700
D) cos 0 = 0.9700

Answer 1

Answer:

(A) cos $\theta$ = -0.9664

$cos \theta =-0.9659$

Step-by-step explanation:

Given

$sin \theta = 0.259 \:and;\\ tan \theta = -0.268$

Sine is Positive and Tangent is Negative in Quadrant II.

In Quadrant II, Cosine is also Negative.

$sin \theta = 0.259 \\\theta=arcsin 0.259=15.01^\circ\\ Therefore in Quadrant II:\\cos \theta =-cos\:15.01^\circ =-0.9659$

Closest Option is A.