Question

1° calcule a expressão Sen ( π/2 +X ),é equivalente a:

A) Sen x
B) Cós x
C) Tg x
D) Sen 2x
e) Cos 2x
​

Answer 1

$\boxed{\begin{array}{c}\sf{seno~da~soma}\end{array}}$

$\large\boxed{\begin{array}{c}\sf{sen(a+b)}\\\sf{=sen(a)\cdot cos(b)+sen(b)\cdot cos(a)}\end{array}}$

$\dotfill$

$\sf{sen\left(\dfrac{\pi}{2}+x\right)=\underbrace{sen\left(\dfrac{\pi}{2}\right)}_{1}\cdot cos(x)+sen(x)\cdot \underbrace{cos\left(\dfrac{\pi}{2}\right)}_{0}}\\\boxed{\sf{sen\left(\dfrac{\pi}{2}+x\right)=cos(x)}}$