[tex]\sf If\: \rm x \ = \frac{4}{7}\:Find \: \sf \cos \: x \:and \sf \: tan \: x [/tex]
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[tex]\sf If\: \rm x \ = \frac{4}{7}\:Find \: \sf \cos \: x \:and \sf \: tan \: x [/tex]
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Answer:
cosx ≈ 0.82
tanx ≈ 0.69
Step-by-step explanation:
x = 4/7, is much lesser than 3.14(=2π).
For small angles(in radian), sinx ≈ x.
Therefore, sin(4/7) = 4/7 ≈ 0.57
Hence,
cosx = √1 - sin²x = √1 - (0.57)²
cosx = 0.82
Then,
tanx = sinx/cosx = 0.57/0.82 ≈ 0.699...
*note that these are the near-to approximate values, approximate values are cosx = 0.84, tanx = 0.642.
For approximate values, you can draw a circle(radius = 1unit) and with the help of an arc (length = 4/7 unit), you can get them.
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