tricks to remember trigonometric ratios of quadrantal angles


Hello friends, I am Anil Kore welcome to my blog mathstips4u.

In this post I am going to tell you some tricks to remember trigonometric ratios of quadrantal angles.    
Quadrantal angles are


trigonometric ratios of quadrantal angles
There is a separate video on quadrantal angles.
let us have a quick look on quadrantal angles.
If the terminal arm lies on positive X-axis then the measure of the angle is 0 degree.
If the terminal arm lies on positive Y-axis then the measure of the angle is 90 degree  .
If the terminal arm lies on negative X-axis then the measure of the angle is 180 degree.
If the terminal arm lies on negative Y-axis then the measure of the angle is 270 degree  .
If the terminal arm takes a complete rotation lies on positive X-axis then the measure of the angle is 360 degree.
We shall see the graph of sin θ and cos θ.
Now we shall see how to remember trigonometric ratios of quadrantal angles.


trigonometric ratios of quadrantal angles


We have to remember sin 0 degree  .= 0 then 0 is alternate between  1 and -1  and for tan  ,  0 and N.D. is alternate. Where ND is not defined.
In this way we have seen how to remember trigonometric ratios of quadrantal angles
In my next post we will learn how to remember allied angles formulas.




Comments

Post a Comment

Popular posts from this blog

Double implication or biconditional

Image
Hello friends, Welcome to my blog mathstips4u. In my last post we have seen implication and its truth table and some of its examples. Some of important examples I intentionally left as exercise. The solution of these examples is provided at the end of this post.  We shall start with Bi-conditional or double implication ( ↔ ) : Let p and q be two simple statements. Then the compound statement ‘p if and only if q’ is called the bi-conditional or double implication, denoted by p ↔q or p = ＞ q . It is read as p implies and implied by q. p ↔q is defined to have the truth value ‘true’ if p and q both have the same truth values. Otherwise   p ↔q is defined to have the truth value ‘false’. Truth table of bi-conditional p ↔q p q p ↔q T T T T F F F T F F f T Note: 1. p ↔q, q ↔p both are same. 2. p ↔q is the conjunction of a conditional and its converse i.e. p → q and ...
Read more

Converse, Inverse and contrapositive of an implication

Image
Hello friends, Welcome to my blog mathstips4u. In my last post we have seen logical equivalence and some of their examples. In this post we are going to learn converse , inverse and contrapositive of an implication and some of their examples. If p → q is an implication, then there arises following three implications 1.      q → p is called converse of p → q 2.        ~ p →    ~q is called inverse of p → q 3.         ~ q →    ~ p is called contrapositive of p → q We shall see the truth table of converse , inverse and contrapositive of an implication. p q ~ p ~ q p → q conditional q → p converse ~ p →~q inverse ~ q → ~ p contrapositive T T F F T T T T T F F T F T T F F T T F T F F T ...
Read more

Application of logic to the switching circuit part-2

Image
In this post we are going to see two types of examples on the application of logic to the switching circuits.   A) how to express the given circuit in symbolic form of logic and B) how to construct the switching circuits if the logical statements are given.   So let’s begin. Ex. A) Express the following circuits in symbolic form of logic. In the circuit there are one S1 switch, two S2’ switches, one S3 switch and one S3’ switch. Let p: the switch S1 is closed.             ~q: the switch S2’ is closed.              r: the switch S3 is closed.          \  ~r: the switch S3’ is closed. The switch S2’ and S3 are connected in parallel and they are connected in series with the switch S1. Its symbolic form is p & (~q v r) . The switches S2’ and S3’ are connected in series. Its symbolic form  is...
Read more