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************************ * ************* x * ************** *** * \frac{{{{\sec }^2}x * ********* *** = \frac{{{{\tan ************* *** * \frac{{{{\sin *************** }^2}x}} ****** **** x * \frac{{{{\sin ************* *** * \sin ***** ********* *********** *************** * ******************** ********* *** + *********** x}}{{\sin x}} * ************* ***** + ****** ************* x\sin x}} * \frac{1}{{\cos x\sin *** = \sec ***** x\;\left( *********** \right)\\\left( * ************* x\left( {\cot * - **** ** ******* * **** x\left( {\frac{1}{{\tan *** - **** ** ******* * 1 - \tan ***** * * * * \frac{{\sin ********* *** ****** **** * * * * **** x\;\left( *********** *************** * ******************** x\cot ********* *** * ********************* *** ****** **** ******************* ***** = *********** ********* *** ****** **** x * {\cot ^2}x\;\left( *********** ********************