Question

if m = cos theta - sin theta and n = cos theta + sin theta then show that √m/n + n/m = 2/√1-tan² theta

Answer 1

Answer:

Step-by-step explanation:

m = (cos∅ - sin∅)

n = (cos∅ + sin∅)

now, put m =( cos∅ - sin∅) and n = (cos∅ + sin∅)

= {(cos∅ - sin∅)+(cos∅ + sin∅)}/√{cos∅-sin∅)(cos∅+sin∅)}

= 2cos∅/√{cos²∅ - sin²∅}

= 2/√{cos²∅/cos²∅ - sin²∅/cos²∅}

= 2/√{1 - tan²∅} = RHS

Answer 2

Answer:

Step-by-step explanation: