Advertisement Remove all ads

In the Following, One of the Six Trigonometric Ratios is Given. Find the Values of the Other Trigonometric Ratios. `Tan Alpha = 5/12` - Mathematics

Sum

In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.

`tan alpha = 5/12`

Advertisement Remove all ads

Solution

`tan alpha = 5/12`

We know that `tan alpha ="opposite side/adjacent side"= 5/12`

Now consider a right-angled Δle ABC

Let x = hypotenuse .By applying Pythagoras theorem

𝐴𝐶2 = 𝐴𝐵2 + 𝐵𝐶2

𝑥2 = 52 + 122

𝑥2 = 25 + 144 = 169

𝑥 = 13

`sin α = "adjacent side"/"hypotenuse"= 5/13`

`cos α =  "adjacent side"/"hypotenuse" = 12/13`

cot α = `1/tan alpha = 12/15``

cosec α = `1/sin alpha = (1/5)/13 = 13/5`

sec α = `1/cos alpha = (1/12)/13 = 13/12`

 

 

 

 

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Exercise 10.1 | Q 1.05 | Page 23
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×