What are the values of cos α and tan α, if: sinα= 40/41
1 answer:
Answer:
The answer to your question is:
cos α = 9/ 41
tan α = 40/9
Step-by-step explanation:
Data
cos α = ?
tan α = ?
sin α = 40/41
Process
sin Ф = opposite side / hypotenuse
then, if sin α = 40/41,
opposite side = 40
hypotenuse = 41
Pythagorean theorem
c² = a² + b²
41² = 40² + b²
b² = 41² - 40²
b² = 1681 - 1600
b² = 81
b = 9
adjacent side = 9
Now,
cosine Ф = adjacent side / hypotenuse
cos α = 9/ 41
tangent Ф = opposite side / adjacent side
tan α = 40/9
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