已知tan²;a=2tan²;b+1,則cos2a+sin²;b=?過程越細越好

已知tan²;a=2tan²;b+1,則cos2a+sin²;b=?過程越細越好

由tan²;a=2tan²;b+1得tan²;a+1=2tan²;b+1+1,即sec²;a=2sec²;bcos2a+sin²;b=2cos²;a-1+1-cos²;b=2cos²;a-cos²;b=2/sec²;a -1/sec²;b=2/(2sec²;b)-1/sec…