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Two tools P and Q have signature 50 -50 -60 -60 -80 -300 -0 and 50 -50 -70 -70 -80 -150 -00 (both SA) respectively. They are used to turn components under the same machining conditions. If hP and hQ denote the peak-to-valley heights of surfaces produced by the tools P and Q, the ratio hP / hQ will be

(a) $\frac{\tan 8^{\circ}+\cot 15^{\circ}}{\tan 8^{\circ}+\cot 30^{\circ}}$             (b) $\frac{\tan 15^{\circ}+\cot 8^{\circ}}{\tan 30^{\circ}+\cot 8^{\circ}}$

(c) $\frac{\tan 15^{\circ}+\cot 7^{\circ}}{\tan 30^{\circ}+\cot 7^{\circ}}$              (d) $\frac{\tan 7^{\circ}+\cot 15^{\circ}}{\tan 7^{\circ}+\cot 30^{\circ}}$

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