Find exact values for sin θ and tan θ if cos θ = -√2/5 and θ terminates in quadrant iii.

Part 1)

Part 2)

Step-by-step explanation:

step 1

Find the

we know that

we have

substitute

square root both sides

Remember that the angle θ terminates in Quadrant III

That means, that the value of sin(θ) is negative

so  

step 2

Find the

we know that

we have

substitute

simplify

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.