Question

Evaluate cos 60 degrees -cot 45 degrees+ cosec30degrees / sec 60 degrees + tan 45 degrees -sin 30 degrees

Answer 1

$\dfrac{cos\:60° - cot\:45° + cosec\:30°}{sec\:60° + tan\:45° - sin\:30°}$

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$\text{ Trigonometric Ratios }$

$cos 60° = \dfrac{1}{2}$

$cot 45° = 1$

$cosec 30° = 2$

$sec 60° = 2$

$tan 45° = 1$

$sin 30° = \dfrac{1}{2}$

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$\text{putting the value in the equation}$

$\dfrac{cos\:60° - cot\:45° + cosec\:30°}{sec\:60° + tan\:45° - sin\:30°}$

$\dfrac{\dfrac{1}{2} - 1 + 2}{2 + 1 - \dfrac{1}{2}}$

$\dfrac{\dfrac{3}{2}}{\dfrac{5}{2}} = \dfrac{3}{5}$

$\mathfrak{Hence\:the\: answer\:is\: \dfrac{3}{5}}$

______________________________________$\mathcal{BE \: BRAINLY}$