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\left. \begin array l \operatorname sin 60 ^ \circ \operatorname cos 30 ^ \circ %2B \operatorname sin 30 ^ \circ \operatorname cos 60 ^ \circ \\ \frac \operatorname cos 45 ^ \circ \operatorname sec 30 ^ \circ %2B \operatorname cosec 30 ^ \circ \quad \text (iv) \frac \operatorname sin 30 ^ \circ %2B \operatorname tan 45 ^ \circ - \operatorname cosec 6 \operatorname sec 30 ^ \circ %2B \operatorname cos 60 ^ \circ %2B \operatorname cosec 6 \\ \frac 5 \operatorname cos ^ 2 60 ^ \circ %2B 4 \operatorname sec ^ 2 30 ^ \circ - \operatorname tan ^ 2 45 ^ \circ \operatorname sin ^ 2 30 ^ \circ %2B \operatorname cos ^ 2 30 ^ \circ \end array \right. |
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Answer» 5cos^2 60 + 4sec^2 30 - tan^2 45 / sin^2 30 + cos^2 30 = 5*(1/4) + 4(4/3) - 1/1 = 5/4 + 16/3 - 1 = (15 + 64 - 12)/12 = 67/12 |
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