If sinθ = 3/5 find tanθ for 0 < θ < 90o
Question 1 Report
If sinθ = 3/5 find tanθ for 0 < θ < 90o
Answer Details
To find the value of tanθ, we can use the relationship:
tanθ = sinθ / cosθ
We are given sinθ = 3/5. To find cosθ, we can use the identity:
sin^2θ + cos^2θ = 1
Substituting sinθ = 3/5, we get:
(3/5)^2 + cos^2θ = 1
9/25 + cos^2θ = 1
cos^2θ = 16/25
cosθ = ±4/5
Since 0 < θ < 90°, we know that cosθ is positive. Therefore, cosθ = 4/5.
Substituting sinθ = 3/5 and cosθ = 4/5 into the equation for tanθ, we get:
tanθ = sinθ / cosθ
tanθ = (3/5) / (4/5)
tanθ = 3/4
Therefore, the value of tanθ for sinθ = 3/5 is 3/4.
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