Find sin² 1° + sin² 2° + sin² 3° +..... sin² 89°, tg 1° ⋅ tg 2° ⋅ tg 3° ⋅ .... ⋅ tg 8

[dr.trovacek]

Find sin² 1° + sin² 2° + sin² 3° +..... sin² 89°, tg 1° ⋅ tg 2° ⋅ tg 3° ⋅ .... ⋅ tg 8



1. Calculate: sin² 1° + sin² 2° + sin² 3° +..... sin² 89°.

2. Calculate: tg 1° ⋅ tg 2° ⋅ tg 3° ⋅ .... ⋅ tg 8.

Help please!!!

Many thanks in advance!

 

[Deleted member 4993]

1. Calculate: sin² 1° + sin² 2° + sin² 3° +..... sin² 89°.

2. Calculate: tg 1° ⋅ tg 2° ⋅ tg 3° ⋅ .... ⋅ tg 8.

Help please!!!

Many thanks in advance!

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[stapel]

1. Calculate: sin² 1° + sin² 2° + sin² 3° +..... sin² 89°.

You applied the identity for sines and cosines, relating them to ninety-degree angles. Then you applied the Pythagorean Identity. And... then what?

2. Calculate: tg 1° ⋅ tg 2° ⋅ tg 3° ⋅ .... ⋅ tg 8.

Are you using "tg" to mean "tangent", which is usually denoted as "tan"? Either way, please reply with your thoughts and efforts so far. Thank you!