Question

Find the function value. tan495°

Answer 1

-1
The answer is -1

Answer 2

Answer: -1

Explanation:

You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°

Tangent is equal to
`(sin(theta))/(cos(theta))`, we already solved theta which was 135°

This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

`sin135=(√(2) )/(2)`

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

`cos135=-(√(2) )/(2)`

The final step is to divide them. They are both fractions so you should multiply by the reciprocal.

`(√(2) )/(2) *-(2)/(√(2) ) =-(2√(2) )/(2√(2) ) =-1`