1. If
[tex] \frac{(tanθ + tan30)}{(1- tanθ × tan30)} = - 1[/tex]
find the value of tanθ

2 Verify each of the following
a.
[tex]sin^2θ - cos^2θ = (sinθ-cosθ)(1+sinθcosθ)[/tex]
b.
[tex] {cosecθ}^{2} - cosecθ = \frac{ {cot}^{2}θ }{(1+sinθ)} )\ \textless \ br /\ \textgreater \ [/tex]
c.
[tex] {(sinθ-cosθ)}^{2} + {(sinθ + cosθ)}^{2} = 2[/tex]
d.
[tex] \sqrt{ \frac{{(1 + {tan}^{2}θ } }{1 + {cot}^{2}θ } } = tanθ[/tex]
e.
[tex] \frac{cosθ - 1}{secθ + tanθ} + \frac{cosθ + 1}{secθ - tanθ} = 2(1 + tanθ)[/tex]


​