Question

If 5 cos (theta) = 3
Evaluate
cosec(theta) - cot(theta)/cosec(theta) + cot(theta)
@perl

Answer 1

@paki

Answer 2

$$
\large 5 \csc (\theta ) = 3 \\
\large \csc(\theta) = \frac {3}{5}


$$

Answer 3

Okay,
now ?

Answer 4

this is a 3,4,5 pythagorean triple. simplest -- just draw the triangle and read off the ratios.

Answer 5

Umm?
@perl
what did he say?

Answer 6

he said good things :)
$$
\Large \text { is this question}\\
\Large \frac{(\csc \theta - \cot \theta)}{(\csc \theta + \cot \theta)}



$$

Answer 7

does it say what the angle of theta is ,

Answer 8

No.

Answer 9

missing side is 4?
now what

Answer 10

now?

Answer 11

$$
\Large \cos \theta = 3/5\\

\Large \sec \theta = 3/4\\

\Large \sin \theta = 4/5 \\

\Large \csc \theta = 5/4 \\

\Large \tan \theta = 4/3\\

\Large \cot \theta = 3/4\\




$$

Answer 12

I mean how to I substitute the values in the expression?

Answer 13

$$
\text {Plug into }~
\frac{(\csc \theta - \cot \theta)}{(\csc \theta + \cot \theta)}
\\
\huge \frac{\frac{5}{4}-\frac{3}{4}}{\frac{5}{4}+\frac{3}{4}}
$$

Answer 14

1?

Answer 15

2/4/8/4

Answer 16

$$
\huge \frac{\frac{5}{4}-\frac{3}{4}}{\frac{5}{4}+\frac{3}{4}}
= \frac{\frac{2}{4}}{\frac{8}{4}} = \frac{2}{8}=\frac{1}{4}

$$

Answer 17

I got 1/4 also :)

Answer 18

help me at more trig sum??

Answer 19

ok

Answer 20

@perl

Answer 21

I posted a new question and tagged you.