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(1)
Convert the following trigonometric functions to acute trigonometric functions.

(a)
(b)
(c)
(d) )
(e)
(f)
(a)
(b)
(c)
(d)
(e)
(f)
(2)
Given that

*** QuickLaTeX cannot compile formula:
tan⁡A= \frac{8}{15}

*** Error message:
Unicode character ⁡ (U+2061)
leading text: $tan⁡  , where is in the third quadrant, calculate and 已知 *** QuickLaTeX cannot compile formula: tan⁡A= \frac{8}{15} *** Error message: Unicode character ⁡ (U+2061) leading text:$tan⁡



, 且A 在第三象限, 计算

(3)
Given that < < , and , find the value of

*** QuickLaTeX cannot compile formula:
\frac{13 sin⁡A+5 sec⁡A}{3 tan⁡A+cose A}

*** Error message:
Unicode character ⁡ (U+2061)
leading text: $\frac{13 sin⁡A+5 sec⁡A}{3 tan⁡A+cose A}  已知 < < 以及 , 求 *** QuickLaTeX cannot compile formula: \frac{13 sin⁡A+5 sec⁡A}{3 tan⁡A+cose A} *** Error message: Unicode character ⁡ (U+2061) leading text:$\frac{13 sin⁡A+5 sec⁡A}{3 tan⁡A+cose A}



(4)
If , calculate the values of and .
, 试计算 的值。
(5)
If , calculate the values of .
, 求的值.

(6)
If 12tan x = 5, sin x < 0, calculate the value of
*** QuickLaTeX cannot compile formula:
\frac{2sin⁡x+sec⁡x}{4 cot⁡x-3 cos⁡x}

*** Error message:
Unicode character ⁡ (U+2061)
leading text: $\frac{2sin⁡x+sec⁡x}{4 cot⁡x-3 cos⁡x}  若 12tan x = 5, sin x < 0, 求 *** QuickLaTeX cannot compile formula: \frac{2sin⁡x+sec⁡x}{4 cot⁡x-3 cos⁡x} *** Error message: Unicode character ⁡ (U+2061) leading text:$\frac{2sin⁡x+sec⁡x}{4 cot⁡x-3 cos⁡x}