Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.


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

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.