Question

As x increases from 0 to pi, the value of y= -sin(x)

Answer 1

it can be solved easily when you know the graph of y = sin(x)

see figure, here it is clear shown the graph of sinx. here we have learnt , value of sine increases between 0 to π/2 and then decreases between π/2 to π.

so, x increases from 0 to π, the value of sine increases at first and then decreases.

but here y = -sinx [i.e., graph of y is mirror image of sinx with respect to x-axis. as shown in 2nd graph ]

so, x increases from 0 to π, the value of y = -sinx, decreases and then increases.

also read similar questions : sin(x)+sin(x/2)=0, 0 ≤ x ≤ 2π

Find all the value of x

https://brainly.in/question/104195454 sin x sin (pi/3 -x) sin (pi/3+x) = sin 3x ...Prove

https://brainly.in/question/11436755

Answer 2

Answer:

We know cos0

o

=1

cos30

o

=

2

3

cos45

o

=

2

2

cos60

o

=

2

1

cos90

o

=0

So we can clearly see that value of cosx decreases as x increases from 0 to

2

π