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The easiest way to do these is to put everything in terms of sin and cos.....so we have

7 sin (x)  sec (x)

_____________    =

       tan (x)

7 sin (x)   (1 ) / cos (x)

__________________   =

       sin x  / cos x

7sin x             cos  x

______  *    _______   =

 cos x             sin x

7

For the second....evaluate

- (-3)^2   +  6(-3)

If f(x) = -x + 4 and g(x) = x^2 - 5, then g(f(3)) = ?

We first evaluate f(3)   =   -3 + 4    =   1

So.....now we have   g (1)

Plug 1 into g  and evaluate.....that will be your answer

cos 2θ ( 1 +  tan 2θ)  =

cos 2θ (  1  +   sin 2θ / cos 2θ )  =

cos2θ + sin 2θ

cos^2 θ  - sin^2 θ  +   2sinθcosθ

tan y / csc y  =

[sin y / cos y ] / [1 / sin y]  =

sin^2 y / cos y  =

[ 1 - cos ^ y ] / cos y

 1

____  -   cos y   =

cosy

 1                    1

_____   -     _____

cos y            sec y

Note that triangle ABD  is a 6-8-10  Pythagorean Triple Right Triangle

And triangle ABD  is similar to triangle CDA...so

AD / BD  = CA / DA    ....so....

10/ 8   =  CA /  6      multiply both sides by  6

60 / 8   =  CA   =  7.5

So.....the area of ABC   = (1/2) (AB) (AC)  =  (1/2)(10(7.5)  =  37.5 units^2

First one......the product of two evens   is always even

Second one........the answer  isn't obvious....but consider that  2 times anything  = an even....and adding 1 to this will produce an odd........so  (E)

(x+1/x)^2 = x^2+2+1/x^2.

Does that give you an idea?

There can be many values, because there are only 2 equations for 3 unknowns.

Thanks!

The inscribed angle encompasses 270 degrees of arc of the entire circle....

   inscribed angles encompass twice their measure...

      270/2 = 135 dgrees

5! / [2! * 3!]=10
10 / 2^5 =5 / 16 =31.25%

no problem man

thank you for the help darkcalc i very much appreciate it

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thanks Darkcalc btw how does this website work?

well welcome to the community sanic 

congratulations csy

ikr its so ironic 

The range of g(x) is [-150,36].

a/b = 2.

The point that must be on the graph is (-9,-4), so the sum of the coordinates is (-9) + (-4) = -13.