From the triangle given,
a) To find cosθ,
[tex]\cos \theta=\frac{Adj}{Hyp}=\frac{a}{b}[/tex]
b) To find tanτ,
[tex]\tan \tau=\frac{Opp}{Adj}=\frac{a}{x+y}[/tex]
c) To find tan (θ+φ),
[tex]\tan (\theta+\Phi)=\frac{Opp}{Adj}=\frac{x+y}{a}[/tex]
d) To find sin μ,
[tex]\sin \mu=\frac{Opp}{Hyp}=\frac{a}{b}[/tex]
e) To find csc τ,
[tex]\csc \tau=\frac{1}{\sin \tau}=\frac{1}{\frac{a}{c}}=\frac{c}{a}[/tex]
f) To find sec (θ+φ),
[tex]\sec (\theta+\Phi)=\frac{1}{\cos (\theta+\Phi)}=\frac{1}{\frac{a}{c}}=\frac{c}{a}[/tex]
Answers given above.
