Q. tan65°/cot25° = ?

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Q. tan65°/cot25° = ?

Solⁿ,

65^∘ + 25^∘ = 90^∘ ⇒ complementary

So, cot25^∘ = tan65^∘

Now just replace: tan65^∘/cot25^∘ = tan65^∘/tan65^∘ = 1

So: tan65^∘/^​ cot25^∘ = tan65^∘/tan65^∘ ​=1

Ans:1​ 

Note: α + β = 90° , sin α /cos β = 1, tan α /cot β = 1, sec α /cosec β = 1

Final Key Trick

If angles add to 90° and appear as:

• sin / cos


• tan / cot


• sec / cosec

then value = 1