Question

find the values of the trigonometric functions of the following quadrantal angled;
(1)\(\dfrac5/{2}*pi\) (2).\(\dfrac-9{2}*pi\) (3).\(\dfrac235{2}\)

Answer 1

sorry for above posting

here are the questions
\(\dfrac{5}{2}pi\) (2)-.\(\dfrac{9}{2}pi\) (3).\(\dfrac{235}{3}pi\)

Answer 2

Before you plug them into any trigonometric function make sure to simplify them first:
5/2 pi = 2pi + 1/2 pi
- 9/2 pi = -4pi - 1/2 pi
Knowing than sin(x+2pi)=sin(x) and same for all trigonometric functions this should make it easier.

Answer 3

what is the technique for simplifying first @math&ing001

Answer 4

@amistre64

Answer 5

Here's an example : cos(5/2 pi) = cos(2pi + 1/2 pi) = cos(1/2 pi) = 0

Answer 6

@waterineyes

Answer 7

idon't understand how we do ..i fill v.tough

Answer 8

What is the question and where is it??

Answer 9

Okay I got it.. :)

Answer 10

Do you know how to convert radians into Degrees??

Answer 11

@waterineyes yes i know conversion .

Answer 12

If you can convert it, it will look easy to you, otherwise we can work in radians too..

What you want??

Answer 13

do in radians ..it would be my repeatation

Answer 14

Are you getting what @math&ing001 saying in his posts?? I suggest you, first listen to him..

If you still don't get it anywhere, then I am here to help you.. :) Okay??

Answer 15

\[\sin(\frac{ 5 }{ 2 }\pi)=\sin(\frac{ 4+1 }{ 2 }\pi)=\sin(\frac{ 4 }{ 2 }\pi+\frac{ 1 }{ 2 }\pi)=\sin(2\pi+\frac{ 1 }{ 2 }\pi)=\sin(\frac{ 1 }{ 2 }\pi)=1\]
I can not explain it any more that this.

Answer 16

expalin me step by step ...math@ing tell me but i can't understand

Answer 17

Okay, then I start..

You must know firstly, where cos(x) is maximum, for same x, sin(x) will be minimum..

Now, I am saying as for any odd multiple of pi/2, cos(x) will always be 0, this you got??

Answer 18

yes

Answer 19

(x) means theta ..he na

Answer 20

Odd multiple of pi/2 means : pi/2, 3pi/2, 5pi/2 etc... with pi/2, there must come odd digit..

Yes, theta and x is the same thing..

Answer 21

For x to be odd multiple of pi/2, cos(x) will be 0 and sin(x) will be 1 or -1..

This I will show you later..

Now,
let us come to your question..

Your first part is : 5pi/2..

Answer 22

yes @ water in eyes

Answer 23

Before this, you must know this also:

Complementary of sin is cos and vice versa..
Complementary of tan is cot and vice versa.
Complementary of sec is cosec and vice versa..

Answer 24

what means of complementary