Question

sin 30° + tan 45º - cosec 60°
sec 30° + cos 60° + cot 45°
​

Answer 1

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Q:-sin 30° + tan 45º - cosec 60°

sec 30° + cos 60° + cot 45°

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------>>>>Here is your answer<<<<--------

$sin 30° + tan 45º - cosec 60°</p><p>sec 30° + cos 60° + cot 45°</p><p>$

$➪ \frac{1}{2} + 1 - \frac{2}{ \sqrt{3} } \times \frac{2}{ \sqrt{3} } + \frac{1}{2} + 1$

$➪ \sqrt{3} \times \sqrt{3} = 3$

$➪ \frac{1}{2} + 1 - \frac{4}{3} + \frac{1}{2} + 1$

$➪l.c.m \: of \: 2 ,\: 3 and \: 2 \: is \: 6$

$➪ \frac{3 + 6 - 8 + 3 + 6}{6}$

$➪ \frac{9 - 8 + 9}{6} = \frac{1 + 9}{6} = \frac{10}{6} = \frac{5}{3} ✓$

HOPE IT HELPS YOU..

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Answer 2

sin 30° + tan 45º - cosec 60°

sec 30° + cos 60° + cot 45°

= 1/2 + 1 - 2/√3 × 1/√3 + 1/2 + 1

= 1/2 + 1 - 2/3 + 1/2 + 1

= 1+2/2 - 4+3+1/6

= 3/2 - 8/6

= 9-8/6

= 1/6

hope it helpful