The value of tan² 30 – 4 sin² 45 is

The value of tan² 30 – 4 sin² 45 is

(a) 1

(b) 7/3

(c) -5/3

(d) -11/3

Answer:

tan ²30° – 4 sin²45°

(1/√3)² – 4 × (1/√2)²

1/3 – 4 × 1/2

= -5/3

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