Question

evaluate sin30°+ tan45°+cos60°/cot45°+cosec30°-sec60°​

Answer 1

ANSWER:

$\to \small \rm{ \dfrac{ {sin30}^{ \circ} + {tan45}^{ \circ} + {cos60}^{ \circ} }{ {cot45} ^{ \circ} + {cosec30}^{ \circ} - {sec60}^{ \circ} } }$

Using

★ sin30° → 1/2

★ tan45° → 1

★ cos60° → 1/2

★ cot45° → 1

★ cosec30° → 2

★ sec60° → 2

Substitute

$\frac{ \frac{1}{2} + 1 + \frac{1}{2} }{1 + 2 - 2} \to \frac{2}{1}$

Hence, sin30°+tan45°+cos60°/cot45°+cosec30°-sec60° = 2