#### 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 Δ^{le} ABC

Let x be the opposite side.

By applying Pythagoras theorem

𝐴𝐶^{2} = 𝐴𝐵^{2} + 𝐵𝐶^{2}

(25)^{2} = 𝑥^{2} + 7^{2}

625 - 49 = 𝑥^{2}

`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`

Is there an error in this question or solution?

#### APPEARS IN

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