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Problem
Problem
Answer the following questions. a. Part 1: (i) Prove that
tan
θ
×
tan
(
90
∘
−
θ
)
=
1
\tan\theta \times \tan(90^\circ - \theta) = 1
tan
θ
×
tan
(
9
0
∘
−
θ
)
=
1
for any acute angle
θ
\theta
θ
. b. Part 2: (ii) If
tan
(
3
x
−
10
∘
)
=
tan
(
90
∘
−
(
2
x
+
25
∘
)
)
\tan(3x - 10^\circ) = \tan(90^\circ - (2x + 25^\circ))
tan
(
3
x
−
1
0
∘
)
=
tan
(
9
0
∘
−
(
2
x
+
2
5
∘
))
, determine the value of
x
x
x
.
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