Question

Find the value of tan5° × tan 25°× tan 65°× tan85° Explanation​

Answer 1

Answer:

1

Step by step explanation:

tan 5 × tan 85 × tan 65 × tan 25

[Using formula tan (90-θ) = cot θ]

= tan (90-85) × tan 85 × tan (90-25) × tan 25

= cot 85 × tan 85 × cot 25 × tan 25

(cot θ = 1/tan θ)

= 1/tan 85 × tan 85 × 1/tan 25 × tan 25

= 1

Hope this helps!