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We are given tan 225°, and asked which of the options has the same value. tan 225° lies in the third quadrant, where tangent is positive. 225° = 180° + 45°, so: tan 225° = tan(180° + 45°) = tan 45° = 1 So, tan 225° = 1 Now, check values of other options: (a) cos 90° = 0 (b) tan 45° = 1 (c) tan 135° = –1 (d) sin 270° = –1 Only option (b) matches.
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