Question

prove that tan44 * tan46 = 1 (without using cot , sec or cosec)

Answer 1

Answer:

Tan 44° × Tan 46°=1

Step-by-step explanation:

Given that :-

Tan 44° × Tan 46°

=>(Sin44°/Cos 44°)×(Sin46°/Cos 46°)

=>(Sin44°×Sin46°)/(Cos44°×Cos46°)

=>[Sin(90°-46°)/Cos44°]×[Sin(90°-44°)/Cos46°]

We know that

Sin(90°-A)=Cos A

Cos(90°-A)=Sin A

=>(Cos44°/Cos 44°)×(Cos46°/Cos46°)

=>1×1

=>1

Tan 44° × Tan 46°=1

Answer 2

Answer:

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