Answer :

Answer:

See explanation.

Step-by-step explanation:

a) From the triangle, other two angles are equal (90/2) = 45° because the lengths of sides opposite them are also equal.

Therefore,

cos 45° = 1/√2

Note: 45° is in the first quadrant and all Trigonometric are positive there.

b) 315° is in the fourth quadrant and cosine is the only positive trig. there with formula: 360° - theta governing that quadrant.

cos 315° = cos (360°- 315°)

= cos 45°

cos 315° = 1/√2