Question

If sin theta =√3 /√4 find all T.(trigonometry) ratio.
with step by step

​

Answer 1

Solution

Given :-

• sin θ = √3/√4

Find :-

• All trigonometry ratio

Explanation

We Know,

$\boxed{\tt{\:\sin \theta\:=\dfrac{perpendicular}{Hypotenuse}}}$

So,

==> sin θ = √3/√4 = Perpendicular/Hypotenuse

Here,

• Perpendicular = √3
• Hypotenuse = √4

Now, Calculate Base

Using Pythagorous Theorem

★ Hypotenuse ² = Perpendicular ² + Base²

Keep all above Values,

==> Base² = (√4)² - (√3)²

==> Base² = 4 - 3

==> Base² = 1

==> Base = 1

Now, Calculate other trignometry ratio

So,

1.

★ Cos θ = Base/Hypotenuse

==> cos θ = 1/√4

2.

★ tan θ = perpendicular/Base

==> tan θ = √3/1

==> tan θ = √3

3.

★cot θ = Base/Perpendicular

==> cot θ = 1/√3

4.

★ sec θ = Hypotenuse/Base

==> sec θ =√4/1

==> sec θ = √4

5.

★cosec θ = /Hypotenuse/perpendiculer

==> cosec θ = √4/√3

__________________