Respuesta :

mhanifa

Answer:

  • 75°

Step-by-step explanation:

We know that:

  • sin 30° = 1/2, therefore arcsin (1/2) = 30°
  • tan 45° = 1, therefore arctan (1) = 45°

So the value of the expression is:

  • arcsin (1/2) + arctan (1) = 30° + 45° = 75°
semsee45

Answer:

75°

Step-by-step explanation:

Recall the common trigonometric angles:

  [tex]\sin 30^{\circ}=\dfrac{1}{2}[/tex]

  [tex]\tan 45^{\circ}=1[/tex]

Arcsin is the inverse of sin.

Arctan is the inverse of tan.

[tex]\implies \arcsin \left(\dfrac{1}{2}\right)=30^{\circ}[/tex]

[tex]\implies \arctan (1) = 45^{\circ}[/tex]

Therefore:

[tex]\implies \arcsin \left(\dfrac{1}{2}\right)+\arctan (1) = 30^{\circ}+ 45^{\circ}=75^{\circ}[/tex]

Otras preguntas