Question

Given A in Quadrant 1, with sin A=2/15, and B in Quadrant 1, With tangent B=13/15 find cosine A+B

given A in Quadrant 1, with Sin=A 6/100, and B in quadrant 1, with tangent B=17/10 find tangent A+B

PLEASE EXPLAIN IN DETAIL IF YOU CAN. i am really confused on how to even being to solve this

Answer 1

sinA= 2 is Grecaofacht IS fan B = in Gered rand 73 15 B COS (AUS) - Cosa COSB SINA SIMB cere Now cosa : El seco - tato al sintoxcato 2 ✓ T-sista I- ) 11- 4 225 22/ 1 2254 – 22 22/ 15 225 tan B 13 15 13 2 Vit Gis) sec B = ✓it teens ✓ T+ 169 225 25+/69 228 394 225 394 15 cosB a SECA sec B √394 the only ✓T-225 ㄷ SIMB=-cata 394-225 395 69 ✓ 306

Now SinB = 13 215 ✓ 394 Cas (A+B) = COSA COSB 221 15 15 s masino 13 x 음 394 √394 = 151221 is 5394 3 6 roo is quaoßend I Sim A = is quasha Bare I fan B : 17 10 we know that, tan ( A+B) = tana + teens 1- tana tan B 3 SIMA su given 9 COPA = ſi-sinta цоно 249/ 2491 z 2500-9 50 סער 3 SINA fo tanA= cosa 12491 2491 You 17 To tan (A+B) 17491 3 X 17 ſual To

30 + 17/19/ سالها ۱۰/29/ /گ معها (1+ n ( Aه و7 / 2/+ 30 ای- 5 / 26/