Question

If sina الله الرر which of the following are possible for the same value of o? 3 A. sece = and tang 2 5 2 B. cose 15 and tang = 5 3 3 C. sece = and tang = 2 5 6 D. cosa 5 and tang = 2 15

Answer 1

Given,

Sin# = - 2/3

We would find # by finding the sine inverse of - 2/3. Thus,

Sin^-1(-2/3) = - 41.81 degrees

Considering option A,

Sec# = 3/root 5

Recall, Sec# = 1/Cos#

Thus,

1/Cos# = 3/root 5

By taking reciprocals,

Cos# = root5/3

# = Cos^-(root5/3) = 41.81

tan# = - 2/root5

# = tan^-1(-2/root5) = - 41.81

Since the first value is positive, this option is incorrect

For option B,

Cos# = root5/3

# =