Question

Simplify and write the trigonometric expression in terms of sine and cosine:
sinx+cotxcosx=1/f(x)

Simplify and write the trigonometric expression in terms of sine and cosine:
sinx+cotxcosx=1/f(x)

@Mathematics

Answer 1

So, first of all, what is

sinx+cotxcosx

in terms of sin and cos?

Answer 2

( sin x ) + [ ( cos x / sin x ) ( cos x ) ]

Answer 3

??

Answer 4

Right, or

sin x + cos^2 x / sin x

Now, write that with a common denominator.

Answer 5

( sin² x + cos² x ) / ( cos x )

Answer 6

over sin x.

Answer 7

so... ( sin² x + cos² x ) / ( sin x ) ??

Answer 8

yes. Now. How do you simplify that?

Answer 9

1 / ( sin x )

Answer 10

yes. Hence f(x) = ...what?

Answer 11

sin(x)..gotcha i had cos x as the denominator the whole time

Answer 12

ƒ(x) = sin x ...right?

Answer 13

james can you help me with this one
Determine the largest acute angle of a right triangle which has legs of length 5 and 6

Answer 14

f(x) = sin x, yes.

Now next one. What's the definition of tan x?

Answer 15

6/5

Answer 16

Use tan for those side lengths.

So use your calculator to find x such that tan x = 6/5

Answer 17

i.e., x = arctan(6/5)

Answer 18

ok

Answer 19

am i supposed to get 50.19