Find the exact value of cot theta if csc theta = -4/3 and the terminal side of theta lies in quadrant iii.

The exact value of cotФ  is    

Step-by-step explanation:

Given as:

The value of cosec Ф =

Let the value of  cotФ = x

Now, According to question

∵  sinФ =                       .....1

Put the value of cosec Ф = in eq 1

i.e  sinФ =

Or,  sinФ =

Again

∵ cosФ =

So,  cosФ =

Or, cosФ =

Or,  cosФ =

∴  cosФ =

Again

we know that cotФ =

So,  cotФ  =

Or,  cotФ  =

As according to question sinФ lies in third quadrant

So,  cotФ  =  

Hence, The exact value of cotФ  is     . Answer

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: