Question

Show that tan 46 tan 26 tan44 tan64=1

Answer 1

tan (90° - θ) = cot θ

And tan θ = 1/cot θ

Replace θ by 64°.

We get

tan (90° - 64°) = cot 64°

⇒ tan 26° = cot 64° [∵, 90° - 64° = 26°]

And tan 64° = 1/cot 64°

Using these values, we can solve for the given expression.

tan 26° tan 64° = cot 64° tan 64°

⇒ tan 26° tan 64° = cot 64°/cot 64°

⇒ tan 26° tan 64° = 1

hope this helps

Answer 2

Here u go ♥️♥️

we know tan 46 = cot (90-46)

= cot 44°

and tan 26 = cot (90-26)°

= cot 64°

Now, substituting the value we get ,

= cot 44°. cot 64° . tan 44°. tan 64°

cot can be written as 1/tan .

So,

= 1/tan44°.1/tan 64°. tan 44° . tan 64°

= 1 ( everything got cancelled).

Thus answer is 1

Hence proved.........

Hope it helps u............