Question

If 3sinA = 2, find the value of cosA + tanA / cosA - tanA

Answer 1

Answer:

-11/1 or -11

Step-by-step explanation:

3sinA=2

sinA= perpendicular /hypotenuse

sinA = 2/3

• perpendicular =2
• hypotenuse = 3
• base^2 + perpendicular^2= hypotenuse ^2
• base^2+4=9
• base^2= 5
• base =√5

cos A = base / hypotenuse

cosA= √5/3

tan A= 2/√5

cosA+tan A/cosA-tan A

• [√5/3+2/√5]/[√5/3-2/√5]
• [5+6/3(√5)]/[5-6/3(√5)]
• 5+6/5-6
• -11/1