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(1)
Given that , where ; , where , find the value of .

(2)
Prove that

(3)
Show that, if ,

(4)
If and are the roots of equation , find the value of .

(5)
If A + B = 90

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^{\cirl}

*** Error message:
Undefined control sequence \cirl.
leading text: $^{\cirl  and A > 0 *** QuickLaTeX cannot compile formula: ^{\cirl} *** Error message: Undefined control sequence \cirl. leading text:$^{\cirl



, B > 0

*** QuickLaTeX cannot compile formula:
^{\cirl}

*** Error message:
Undefined control sequence \cirl.
leading text: $^{\cirl  , prove that tan A tan B = 1. Hence without using calculator or mathematical tables, find the value of tan 75 *** QuickLaTeX cannot compile formula: ^{\cirl} *** Error message: Undefined control sequence \cirl. leading text:$^{\cirl



– tan15

*** QuickLaTeX cannot compile formula:
^{\cirl}

*** Error message:
Undefined control sequence \cirl.
leading text: $^{\cirl  . 若A + B = 90 *** QuickLaTeX cannot compile formula: ^{\cirl} *** Error message: Undefined control sequence \cirl. leading text:$^{\cirl



*** QuickLaTeX cannot compile formula:
^{\cirl}

*** Error message:
Undefined control sequence \cirl.
leading text: $^{\cirl  , B > 0 *** QuickLaTeX cannot compile formula: ^{\cirl} *** Error message: Undefined control sequence \cirl. leading text:$^{\cirl



, 证明 tan A tan B = 1.

*** QuickLaTeX cannot compile formula:
^{\cirl}

*** Error message:
Undefined control sequence \cirl.
leading text: $^{\cirl  – tan15 *** QuickLaTeX cannot compile formula: ^{\cirl} *** Error message: Undefined control sequence \cirl. leading text:$^{\cirl



Prove the following identities.

(6)
(7)
(8)
(9)
(10)
(11)
(12)
(13)
(14)
(15)
(16)
Prove that in triangle