Question

prove that 3sinpi/6 * secpi/3 - 4sin5pi/4*cotpi/4=1​

Answer 1

3sinπ/6secπ/3-4sin5π/4cotπ/4

3sin30sec60-4sin225cot45

3sin30sec60-4sin(180+45)cot45

3sin30sec60-4(-sin45)cot45

3sin30sec60+4sin45cot45

3(1/2)(2)+4(1/√2)(1)

3+2√2