Question

Đơn giản biểu thức:

1) sin(\(\dfrac{\pi}{2}\) - x) + cos(π - x) + tan(\(\dfrac{5\pi}{2}\) - x) + tan(x - \(\dfrac{\pi}{2}\))

2) sin(π + x) + cos(\(\dfrac{\pi}{2}\) - x) + cot(2π - x) + tan(\(\dfrac{\pi}{2}\) - x)

Giúp tui với ạ, cảm ơn nhìu ❤

Answer 1

 

1: 

\(sin\left(\dfrac{\Omega}{2}-x\right)+cos\left(\Omega-x\right)+tan\left(\dfrac{5}{2}\Omega-x\right)+tan\left(x-\dfrac{\Omega}{2}\right)\)

\(=cosx-cosx+tan\left(\dfrac{\Omega}{2}-x\right)+tan\left(x-\dfrac{\Omega}{2}\right)\)

=0+0=0

2: \(sin\left(\Omega+x\right)+cos\left(\dfrac{\Omega}{2}-x\right)+cot\left(2\Omega-x\right)+tan\left(\dfrac{\Omega}{2}-x\right)\)

\(=-sinx+sinx+cot\left(-x\right)+cotx\)

=-cotx+cotx=0