Question

If cos A is equal to 2 by 3 e then what is the value of tan a

Answer 1

Step-by-step explanation:

cosA=2/3

4+4tan2⇒4(1+tan2A)

⇒4(1+sec2A) [∴ 1+tan2A=sec2A]

⇒cos2A4 [∵sec62A=cos2A1]

⇒4×(23)2

⇒2×24×3×3

⇒9

Answer 2

Answer:

Step-by-step explanation:

cos A = 2/3

cos²A = 4/9

sin²x + cos²x = 1

sin²x = 1 - cos²x

sin²A = 1 - 4/9

sin²A = 9-4 / 9

sin²A = 5/9

tan²x = sin²x/cos²x

tan²A =(5/9)/(4/9)

tan²A = 5/4

tan A = √5/2

I hope it helps...