Question

Using a calculator, find the value of each of the following ratios, giving your answer correct to 3 significant figures. (a) tan 16° (b) tan 89° (c) tan 18.7° (d) tan 45.4°​

Answer 1

Answer: (a) tan 16°:

Using a calculator, we get:

tan 16° ≈ 0.291

Rounding to three significant figures, tan 16° ≈ 0.291.

(b) tan 89°:

Using a calculator, we get:

tan 89° ≈ 57.290

Note that this value is extremely large and not meaningful in most contexts.

(c) tan 18.7°:

Using a calculator, we get:

tan 18.7° ≈ 0.340

Rounding to three significant figures, tan 18.7° ≈ 0.340.

(d) tan 45.4°:

Using a calculator, we get:

tan 45.4° ≈ 1.058

Rounding to three significant figures, tan 45.4° ≈ 1.06.

Explanation: