Over This Test 20 pts 6 of 20 complet ippoc t tcik of uck 1

Over This Test: 20 pts 6 of 20 complet ippoc ÷t tc-i·k of uck 1 m Quatrint l and thefom nal side of angle lies in Quadrant rv Esin -and cos- 13 45 Kluh ury radas Use mtegers or fracins for arry numbers inde expression. ) Next Question Submit Test 8 9

Solution

I will answer 1st questions post other questions separately

sina =5/13 a is QI

cosb=8/sqrt(145)

sin^2a+cos^2a=1

cos^2a = 1 -(5/13)^2

cosa = 12/13

sin^2b+cos^2b =1

sin^2b= 1- (8/sqrt145)^2

sinb= -9/sqrt(145) [ b is in QIV ]

sin(a+b) =sina.cosb +cosa.sinb

= (5/13). (8/sqrt145) +(12/13).(-9/sqrt145)

= 40/13sqrt145 -72/13sqrt145

= -32/13*sqrt(145)