Question

classify the equation as an identity, conditional equation, or contradiction. if it is a conditional equation, estimate the smallest positive solution, cosxsinx=cosx+sinx

Answer 1

This is not a contradiction nor an identity so it's a conditional equation. You can see the 2 functions cos(x)sin(x) and cos(x)+sin(x) on this graph : http://graphsketch.com/?eqn1_color=1&eqn1_eqn=cos(x)*sin(x)&eqn2_color=2&eqn2_eqn=sin(x)%2Bcos(x)&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=-7&x_max=7&y_min=-6&y_max=6&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525

Answer 2

The points where the 2 functions meet are the solutions to your equation.

Answer 3

how do you find those 2 points out though?

Answer 4

nevermind i figured it out. thanks!
can you also help me with this question:

Answer 5

There are more than 2 points as solutions to your equation, in fact there's an infinity of solutions. But you're only asked to give the first positive one.

Answer 6

find the expression that is equal to \[\tan ^{2}w+3\]

Answer 7

You could write it as: \[\tan ^{2}w+3=\sec ^{2}w+2\]

Answer 8

okay what about sinw/secw+1 + sinw/secw-1

Answer 9

its the same type of question.

Answer 10

sin(w)/sec(w)=sin(w)*cos(w)=(1/2)sin(2w) Hope that helps.

Answer 11

the choices are:
cscw+cotw^2
tan w
2cotw
1-csc^2w
1-cot^2w

Answer 12

Did you mean secw+1 as sec(w+1) ?

Answer 13

no there are no parentheses

Answer 14

sinw/secw+1 + sinw/secw-1
Can you write it better or draw it ?