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In the Following, Trigonometric Ratios Are Given. Find the Values of the Other Trigonometric Ratios. `Cos Theta = 7/25` - CBSE Class 10 - Mathematics

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Question

In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.

`cos theta = 7/25`

Solution

We know that `cos theta = "adjacent side"/"hypotence"`

Now consider a right-angled Δle ABC

Let x be the opposite side.

By applying Pythagoras theorem

𝐴𝐶2 = 𝐴𝐵2 + 𝐵𝐶2

(25)2 = 𝑥2 + 72

625 - 49 = 𝑥2

`576 = sqrt576 = 24`

`sin theta = "opposite side"/"hypotenuse"= 24/25`

`tan theta = "opposite side"/"adjacent side" = 24/7`

`cosec theta = 1/sin theta = (1/3)/5 = 25/24`

`sec theta = 1/cos theta = (1/4)/5 = 25/7`

`cot theta = 1/tan theta = (1/3)/4 = 7/24`

 

 

 

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Solution In the Following, Trigonometric Ratios Are Given. Find the Values of the Other Trigonometric Ratios. `Cos Theta = 7/25` Concept: Trigonometric Ratios.
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