Question

tan 24º tan 42 tan 48 tan 66 ?
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Answer 1

Answer:

0.44522868530853616392236 X tan 42 X tan 48 X tan 66

0.44522868530853616392236 X 0.90040404429783994512047 X 1.11061251482919287014348 X 2.24603677390421605416332

o.45 X 0.91 X 1.12 X 2.25

0.4095 X 2.52

1.03194

Hope it helps ❤️

Answer 2

Answer:

1

Step-by-step explanation:

We know that 24° and 66° are complementary angles. i.e They both form 90°

And also 42° and 48° are complementary to each other

Now let's convert tan 24° and tan 42° into cot.

=> tan 24° = tan (90° - 66°) = cot 66°

tan 42° = tan (90° - 48°) = cot 48°

Now the equation is,

cot 66° cot 48° tan 48° tan 66°

= 1/tan 66° × 1/tan 48° × tan 48° × tan 66° ( For an angle x ; cot x° = 1/tan x°)

= 1

Hope it helps.

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