Jika cot (π / 2 - x) = -3/4, apakah sec ^ 2 (x)?

Jika cot (π / 2 - x) = -3/4, apakah sec ^ 2 (x)?
Anonim

Jawapan:

# sec ^ 2 (x) = 25/16 #

Penjelasan:

#Cot (pi / 2-x) = - 3/4 #

Gunakan identiti.

#cot (pi / 2-x) = tan (x) #

#tan (x) = - 3/4 #

Sekarang gunakan identiti

# Sec ^ 2 (x) = 1 + tan ^ 2 (x) #

# sec ^ 2 (x) = 1 + (- 3/4) ^ 2 #

# sec ^ 2 (x) = 1 + 9/16 #

# =(16+9)/16#

# sec ^ 2 (x) = 25/16 #