Question

please answer the question​

Answer 1

Answer:

(1 + 4√2)/ √2

Step-by-step explanation:

Formulas: sin30° = 1/2, sin45° = 1/√2, tan45° = 1, cos60° = 1/2, sec30° = 2/√3, cosec60° = 2/√3, cot45° = 1, cot60° = 1/√3

sin30°/sin45° + tan45°/cos60° - sec²30°/cosec²60° + cot²45°/cot²60°

= (1/2) / (1/√2) + 1/ (1/2) - (2/√3)²/ (2/√3)² + 1²/ (1/√3)²

= (√2/2) + 2 - 1 + 1 / (1/3)

= (1/√2) + 1 + 3

= (1/√2) + 4

= (1 + 4√2)/ √2