Question

if tan 1⁰ ×tan 2⁰× tan 3⁰.......tan 89⁰ = x²-8​

Answer 1

Answer:

x = 3, -3

Step-by-step explanation:

tan 1 * tan 89 = 1

tan 2 * tan 88 = 1

tan 3 * tan 87 = 1

...

tan 45 = 1

So , tan 1 * tan 2 * tan 3 * tan 4 * ..... * tan 89 = 1

1 = x² - 8 ⇒ x² = 9 ⇒ x= 3, -3

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