A rectangle has length (3x+2) and width (2x+1) .
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Answer:
Step-by-step explanation:
we have
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
remember that
Alright, lets gets started.
We have given two things, cot Θ= - 4 and cos Θ < 0
Means both cot and cos are negative.
So, the quadrant in which Θ lies , is 2nd.
Because in 2nd quadrant, cos and cot both are negative.
Please refer the diagram attached.
Cot Θ = -4 means tan Θ = - 1/4
Means two sides, opposite = 1
adjacent = -4
We could find hypotenuse by using Pythagorean theorem.
Hypotenuse = sqrt (1^2 + -4^2) = sqrt (1+16)
Hypotenuse = √17
sin Θ = opposite / hypotenuse
sin Θ = 1/√17
Multiply and divide with √17
sin Θ = 1/√17 * √17/√17
sin Θ = √17/17 : Answer
Hope it will help :)
