Question

If csc(t)≈ 3.23, and cos(t)≈ 0.95, find tan(t). Round to 2 decimal places.​

Answer 1

Explanation:

We know that:

csc(t) = 1 / sin(t)

Since csc(t) is approximately 3.23, we can write:

1 / sin(t) ≈ 3.23

Multiplying both sides by sin(t), we get:

sin(t) ≈ 1 / 3.23

sin(t) ≈ 0.3096

Now we can use the identity:

tan(t) = sin(t) / cos(t)

We know that cos(t) is approximately 0.95, so we have:

tan(t) ≈ sin(t) / cos(t)

tan(t) ≈ 0.3096 / 0.95

tan(t) ≈ 0.3251

Therefore, tan(t) is approximately 0.33 when rounded to 2 decimal places.