A 85 Trigonometric Form ox Please Answer Question f Dwwwweba

\"A 8.5 Trigonometric Form ox Please Answer Question f Dwww.webassign.net/web/Student/Assignment-Responses/last?dep=13205642 4- Need Help? Radlt_1 ITalk to a Tutor 7. +-/1 points LarAT9 8.5.043. My Notes Ask Your Teacher Use a graphing utility to write the complex number in standard form. (Round all numerical values to four decimal places.) 5(cos 145 sin 1450) Talk to a Tutor 8. +-/1 points LarAT9 8.5.075 My Notes Ask Your Teacher Use DeMoivre\'s Theorem to find the indicated power of the complex number. Write the result in standard form. (Round any numeric values to one decimal place.) [5(cos 3.3 i sin 3.3)14 I\'m Cortana. Ask me anything 9:40 PM 5/9/2016

Solution

Let Z= 5(Cos 145⁰+ i Sin 145⁰)

Cos 145⁰= -0.8192 ; Sin 145⁰= 0.5736

Cos is -ve and Sin is +ve because 145⁰ is in 2^nd Quadrant

Z= 5(-0.8192 +i(0.5736))

Z= -4.0958 + i 2.8679

Therefore standard form of 5(Cos 145⁰+ i Sin 145⁰) is Z= -4.0958 + i 2.8679