Question

What are the coordinates of the points at which the graph y =sin(x+30) meets th axes? maths

0^x^360

Answer 1

`y`-axis at `(0,1/2)` and `x`-axis at `(150,0)` and `(330,0)`

Explanation:

We assume that `x` is in degrees.

A function `y=f(x)` will meet the `y`-axis, where `x=0` i.e. at `(0,f(0))`. As `y=sin(x+30)`, when `x=0`, `y=sin30=1/2`.

Hence `y=sin(x+30)` meets `y`-axis at `(0,1/2)`

It meets `x`-axis, where `y=0` i.e. `sin(x+30)=0` i.e. `x+30=180n`, where `n` is an integer

and in the interval `0 < x <360`, this will be when `x=150` or`x=330`.

graph{sin((pix)/180+pi/6) [-30, 390, -1.5, 1.5]}