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determine angle a if sin a = 0.3421 and 90 < a < 180

Sagot :

Answer:

a = 160⁰

Step-by-step explanation:

sin a = 0.3421

a = arcsin (0.3421)

a = 20⁰ approximately

Since 90 < a < 180 then

a = 180⁰ - 20⁰

a = 160⁰ since sine is also positive in the second quadrant.

Hence, a = 160⁰