Oblicz:
a)sin15⁰ b)cos105⁰ C)tg105⁰
Odpowiedzi: a)√6-√2/4 b)√2-√6/4 c)-2-√3
sin15°=sin(45°-30°)=sin45cos30-sin30cos45=√2/2*√3/2-1/2*√2/2=√6/4-√2/4=(√6-√2)/4
cos105°=cos(60°+45°)=cos60cos45-sin60sin45=1/2*√2/2-√3/2*√2/2=√2/4-√6/4=(√2-√6)/4
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
sin15°=sin(45°-30°)=sin45cos30-sin30cos45=√2/2*√3/2-1/2*√2/2=√6/4-√2/4=(√6-√2)/4
cos105°=cos(60°+45°)=cos60cos45-sin60sin45=1/2*√2/2-√3/2*√2/2=√2/4-√6/4=(√2-√6)/4