Question

1.write the value of cos1,cos2,cos3......cos179cos180.
2.write the acute angle theta satisfying root3sintheta=costheta

Answer 1

HELLO DEAR,

cos 1 × cos 2 × cos 3 × ......× cos 179
= cos 1 × cos 2 × cos 3 × .....× cos 90 × ..... × cos 179
= cos 1 × cos 2 × cos 3 × .....× 0 × ..... × cos 179
= 0 × cos 1 × cos 2 × cos 3 × ....... × cos 179
= 0

(2).

LET THETA =a

$\sqrt{3} \sin(a) = \cos(a) \\ = > \frac{ \sin(a) }{ \cos(a) } = \frac{1}{ \sqrt{3} } \\ = > \tan(a) = \tan(30 )\\ = > a = 30$
I HOPE ITS HELP YOU DEAR,
THANKS