Question

please if you put these in radian deimal form that would help me understand this please

Question 3 1 pts Given A in quadrant I, with sin A=4/15, and B in Quadrant 1, with tangent B=16/7 find cosine of A+B Question 4 1 pts Given e arcsin (2/19) find cos cos( ) je

Answer 1

Question, 3. Given with Sin A = 4/15, and tangent B= 16/7 find A in quadrent ! quadrant I, with of At B B in quadrant I Cosine solution: 4 sinA= 15 we know that sin²A + cos² A Cos²A 2 sin? A 11 1- (s) Cos A = 16 209 225 Now tangent Be 16 7 tan B - 16 7 We know that sec²B= it tan2B 2 1+ sec² B 1 + 305 49 49 - see B = 305 7 On Also, 7 Cos B = SECB 305

Cosine (A+B) = ? Cos (A+B) COSA COSB - sinA SinB Now if Cos B 3os then Sin B= Si- cose -1 49 305-49 305 305 256 16 3o5 305 Cas (A+B) = COSA COSB Sina sin B 7 16 5209 15 4 15 √305 305 Cos (A+B) 7/209 64 15 J305 7 X 14.457 64 Cos (A+B) 101.199-64 15 x 17. 464 261.96 37. 199 261.96 0.142 So, Cos (A at B) ~ 0.142

Question; 4. Given O= arcsin (2/9) find cos(2) sin (3) 2 Sino = با ما 2 Coso = - sinko 11-(2) 4 361 9 357 361 361 19 we know that It Coso Cos 357 19 +$357 3 8 19 +18.89 37.89 0.997 38 38 >) 0.9985 Cos (2) 0.9985 Answer