Question

if sin theta = 24/25 then find cos theta and tan theta

Answer 1

Answer:

sin thtea= 24/25

b²+p²=h²

b=√(25²-24²)

b=√625-576

b=√49

b=7

cos theta=7/25

tan theta=24/7

Answer 2

Concept:

To answer this question, let's recall the concept of trigonometry.

Trigonometry is the branch of mathematics that deals with the angles and sides of triangles(geometric figures) using functions like sine, cosine, tangent etc.

Formula required:

• cos $\Theta$ =√1-sin²$\Theta$
• tan $\Theta$= sin $\Theta$/cos $\Theta$

Given:

We are given a value of sine function which is 24/25

To find:

We are asked to find values of cosine and tangent functions using the value given for sine

Solution:

We have the formula :

cos $\Theta$ =√1-sin²$\Theta$

cos $\Theta$ =√1-(24/25)² (putting the value of sin $\Theta$)

cos $\Theta$ =√1-576/625

cos $\Theta$ =√(625-576)/625

cos $\Theta$=√49/625

cos $\Theta$=7/25

Now, again

tan $\Theta$= sin $\Theta$/Cos $\Theta$

tan $\Theta$=(24/25)/(7/25) (putting the value of sin $\Theta$ and Cos $\Theta$)

tan $\Theta$=24/7

Hence,

cos $\Theta$=7/25

tan $\Theta$=24/7