1f:["$","svg",null,{"className":"w-6 h-6","fill":"none","stroke":"currentColor","viewBox":"0 0 24 24","children":["$","path",null,{"strokeLinecap":"round","strokeLinejoin":"round","strokeWidth":2,"d":"M8.228 9c.549-1.165 2.03-2 3.772-2 2.21 0 4 1.343 4 3 0 1.4-1.278 2.575-3.006 2.907-.542.104-.994.54-.994 1.093m0 3h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"}]}] 20:["$","div",null,{"className":"flex-1","children":[["$","h1",null,{"className":"text-2xl font-bold text-gray-900 mb-4","children":["$","div",null,{"dangerouslySetInnerHTML":{"__html":"

If tan A = ⁵/₆, tan B = ¹/₁₁, prove that A + B = π/4.

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tan A = ⁵/₆, tan B = ¹/₁₁

tan (A + B) = (tan A + tan B) / (1 - tan A tan B)

= (⁵/₆ + ¹/₁₁) / (1 - (⁵/₆)(¹/₁₁))

= (^{55 + 6}/₆₁) / (^{66 - 5}/₆₁)

= ⁶¹/₆₁ = 1

⇒ A + B = π/4

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If tan A = 5/6, tan B = 1/11, prove that A + B = π/4.

Verified Answer

If tan A = 5/6, tan B = 1/11, prove that A + B = π/4.

Verified Answer

If tan A = ⁵/₆, tan B = ¹/₁₁, prove that A + B = π/4.

If tan A = ⁵/₆, tan B = ¹/₁₁, prove that A + B = π/4.