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Matematika SMA Kelas X
[1]
= sin (90° - α) / sin (90° + α)
= [cos α] / [- cos α]
= - 1
[2]
= cos (90° - α) / sin (90° + α)
= [sin α] / [- cos α]
= - tan α
[3]
= sec (90° - α) / cosec (180° + α)
= [1/cos (90° - α)] / [1/sin (180° + α)]
= [1/sin α] / [1/(- sin α)]
= - 1
[4]
P + Q + R = 180°
P = 180° - (Q + R)
[a] cos P = cos [180° - (Q + R)]
cos P = - cos (Q + R)
- cos P = cos (Q + R)
[b] sin P = sin [180° - (Q + R)]
sin P = sin (Q + R)
[c]
P = 180° - (Q + R)
¹/₂.P = 90° - ¹/₂.(Q + R)
sin (¹/₂.P) = sin [90° - ¹/₂.(Q + R)]
sin (¹/₂.P) = cos [¹/₂.(Q + R)]
selesai
silahkan ditandai sebagai jawaban terbaik sekedar penambah semangat