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Find the exact value of the given angle. Simply all radicals and rationalize all denominators.

Find The Exact Value Of The Given Angle Simply All Radicals And Rationalize All Denominators class=

Sagot :

Nepalieducation

Answer:

4√33/33

Step-by-step explanation:

Solution,

Here,

sinθ=4/7

p/h=4/7

b=?

Now using Pythagoras theorem,

[tex]\hookrightarrow h^{2} =p^{2} +b^{2} \\\\\hookrightarrow (7)^{2} =(4)^{2} +b^{2}\\\\\hookrightarrow 49-16=b^{2} \\\\\hookrightarrow b=\sqrt{33}[/tex]

Again,

tanθ=p/b

[tex]tan\theta=\frac{4}{\sqrt{33} } \\\\tan\theta=\frac{4}{\sqrt{33} } \times \frac{\sqrt{33} }{\sqrt{33} } \\\\tan\theta=\frac{4\sqrt{33} }{33}[/tex]

SupremeStrange

According to the question ,

Sin θ = 4/7

We know that , Sin θ = Perpendicular/Hypotenuse

So , by Pythagoras theorem

  • Perpendicular = 4 units
  • Hypotenuse = 7 units
  • Base = let it be x

Hypotenuse² = Perpendicular ² + Base ²

7² = 4² + x²

49-16 = x²

√33 = x

5.7 = x

So , the base is 5.7 units (approx)

Tan θ = Perpendicular/base

Tan θ = 4/5.7

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