Question

The value of
Arc sin⁡(1/2) + Arc tan⁡(1) is

Answer 1

75°

Explanation:

Recall the common trigonometric angles:

`\sin 30^(\circ)=(1)/(2)`

`\tan 45^(\circ)=1`

Arcsin is the inverse of sin.

Arctan is the inverse of tan.

`\implies \arcsin \left((1)/(2)\right)=30^(\circ)`

`\implies \arctan (1) = 45^(\circ)`

Therefore:

`\implies \arcsin \left((1)/(2)\right)+\arctan (1) = 30^(\circ)+ 45^(\circ)=75^(\circ)`

Answer 2

• 75°

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°