Question

Find the value of tan 8° tan 22° cot 60° tan 68° tan 82°

• A. $$\sqrt{3}$$
• B. 1
• C. $$\frac{2}{/\sqrt{3}}$$
• D. $$\frac{1}{\sqrt{3}}$$

Answer 1

Answer:

$$\frac{1}{\sqrt{3}}$$

Solution: CONCEPT: Here we need to recall the formulae of trigonometric Identities. FORMULAE USED: tan (90° – A) = cot A cot A = 1/tan A CALCULATION: tan 8° tan 22° cot 60° tan 68° tan 82° Considering the given statement Tan (90° – 82°) tan(90° – 68°) cot 60° tan 68° tan 82° ⇒ cot 82° cot 68° cot 60° tan 68° tan 82° ⇒ cot 60° = 1/√3 ∴ tan 8° tan 22° cot 60° tan 68° tan 82° = 1/√3