If tan 25 o = a , then the value of tan ⁡ 205 o - tan ⁡ 115 o tan ⁡ 245 o + tan ⁡ 335 o in terms of a is

Question

If tan 25 o = a , then the value of tan ⁡ 205 o - tan ⁡ 115 o tan ⁡ 245 o + tan ⁡ 335 o in terms of a is, 1 - a 2 1 + a 2, 1 - a 2 a, 2 a 1 + a 2, 1 + a 2 1 - a 2

MARKS App · Accepted Answer

tan ⁡ 205 o - tan ⁡ 115 o tan ⁡ 245 o + tan ⁡ 335 o = tan ⁡ 25 o + cot ⁡ 25 o cot ⁡ 25 o - tan ⁡ 25 o = tan 2 ⁡ 25 o + 1 1 - tan 2 ⁡ 25 o = a 2 + 1 1 - a 2 = 1 + a 2 1 - a 2

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