Given that \tan\theta =\frac{12}{35}tanθ= 35 12 and that angle \thetaθ terminates in quadrant \text{III}III, then what is the value of \cos\thetacosθ?

Step-by-step explanation:

Given

Quadrant: 3rd

Required

Determine

This question will be solved using the Pythagoras theorem

The tangent of an angle is calculated as thus;

Comparing

to

We can conclude that

Substitute these values in the Pythagoras formula

Square root of both sides

SInce is in the 3rd quadrant, then

Where and

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:

answer: 800

step-by-step explanation: