Question

If sec A+ tanA =5, find the quadrant in which A lies and find the value of sinA.​

Answer 1

Answer:

SinA=12/13

Step-by-step explanation:

wkt Sec²A - Tan²A = 1

⇒(SecA + TanA)(SecA - TanA)=1

given SecA+Tan A = 5 --- eq 1

⇒ SecA - TanA = 1/5 ---- eq 2

Solving Eq 1 and Eq 2,

we get  SecA=13/5

⇒Cos a =5/13

By substituting Cosa in the formula Sin²A = 1-Cos²A

we get  SinA = 12/13