Question

prove that..........step by step​

Answer 1

Answer:

tan(11π/3) - 2sin(2π/3) - 3/4cosec²(π/4) + 4cos²(17π/6)

=tan(4π-π/3) - 2*√3/2 - 3/4 * (√2)² + 4cos²(3π-π/6)

=(-tanπ/3) -√3-3/2 + 4cos²π/6

= -√3 -√3-3/2 + 4(3/4)

= -2√3 +3-3/2

= -2√3 + 3/2

=(3-4√3)/2