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The equation 4sin2θ+2sinθ−1=0 has the solution θ=18°.
Find the value of cos(162°)
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Hence find the value of cos(59π)
Triangle ABC, shown in the diagram below, has AB=6cm, AC=5cm, and BA^C=54π.
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Find the length BC in the form √a+b√c, where a,b and c∈Z.
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Hence, or otherwise, find the shortest distance between A and the side BC.
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