3 years ago

Sin thetha + cos thetha upon sec thetha + cosec thetha = sin thetha • cos thetha

Mathematics

1 answer:

Ludmilka [50]3 years ago

8 0

Answer:

steps below

Step-by-step explanation:

sin θ + cos θ / sec θ + cosec θ

= (sin θ + cos θ) / (1/cos θ+1/sin θ)

= (sin θ + cos θ) / ((sin θ + cos θ)/sin θ*cos θ)

= sin θ * cos θ

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A circle is centered at the point (5, -4) and passes through the point (-3, 2).

zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

$\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10$