kaylastromsodt
kaylastromsodt
20-10-2016
Mathematics
contestada
simplify cos(θ) − sec(θ) /
sin(θ)
Respuesta :
HeavenlyHelper
HeavenlyHelper
20-10-2016
Replace tan θ with sin θ/cos θ
= sin²θ/cos θ + cos θ
Now multiply the right-hand side by cos θ/cos θ to get the same denominator:
= sin²θ/cos θ + cos²θ/cos θ
= (sin²θ + cos²θ)/cos θ
The numerator is equivalent to 1:
= 1 / cos θ
= sec θ
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