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OLEGan [10]
3 years ago
6

In a right triangle ABC, C is the right angle. What does cosB equal?

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

Given that,

ABC is a right angle triangle, C is the right angle.

To find,

cosB = ?

Solution,

The sum of angle of a triangle is equal to 180 degrees. So,

∠A + ∠B + ∠C = 180°

Put ∠C = 90°

∠A + ∠B + 90° = 180°

∠A + ∠B = 90°

Taking cos with each term.

cosA+cosB = cos (90)

cosA+cosB = 0

cosB=-sinA

Hence, cosB = sinA.

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Which exponential function goes through the points (1, 16) and (4, 128)?
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Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

a\times b=16, then\ a=\frac{16}{a}

Plugging the values in equation 2.

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Plugging b=2 in equation 1.

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Comparing with the general equation of exponential a=8 and b=2

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Which are the roots of the quadratic function f(q) = q2 – 125?
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