The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ> 0 . what is the value of sinθ

Treat as a function of , so that any point on this line takes the form . Suppose is positive; then any such point lies in the 4th quadrant, and this guarantees that the angle has a positive value for .

By definition of tangent and cotangent, we have

Recall the Pythagorean identity,

In the 4th quadrant, we have , so that as well. So when we solve for above, we need to take the negative square root:

okay wait before i answer, is this for your points on a graph?

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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