(iv) Evaluate
5 sin? 30° + cos² 45° - 4 tan? 30°
2 sin 60°cos 30° + tan 45º
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Answer:
1. 5(1/2) + (1√2)^2 - 4(1/√3)
5/2 + 1/2 - 4/√3
6/2 - 4/√3
3 - 4/√3
(3√3 - 4) /√3
{(3√3 - 4) /√3} × √3/√3
(9 - 4√3) / 3.
√3(3√3 - 4) / 3 is the correct answer.
2. 2(√3/2)(√3/2) + 1
2 × 3/4 + 1
3/2 + 1 = (3 + 2) / 2
5/2 is the correct answer.
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