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Please help on Trig question?


Fill in the blank. If necessary, use the slash mark ( / ) for a fraction bar.


If cosθ = 3/5 , then tanθ = _____.

Verified Answer :

Say theta=β for the sake of this problem. There isn't a theta sign I can use on Brainly.

cosβ=A/H=3/5

So the adjacent side of the right angled triangle is 3 and the hypotenuse of the right angled triangle is 5. Let's find its opposite side as tanβ=(sinβ)/(cosβ) and sinβ=O/H.

3²+Opposite²=5²

9+Opposite²=25

Opposite²=25-9

Opposite²=16

Opposite=√16=4

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With this knowledge we can say that:

sinβ=O/H=4/5

Therefore:

tanβ=(4/5)/(3/5)

=(4/5) * (5/3)

=20/15

=4/3

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tanβ=4/3

Answer:

4/3

Step-by-step explanation:

apex

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