Date
Prove that sintheta sec theta+costheta cosec theta=
2 cosec 2theta​

See Below.

Step-by-step explanation:

We want to prove that:

Let secθ = 1 / cosθ and cscθ = 1 / sinθ:

Creat a common denominator. Multiply the first fraction by sinθ and the second by cosθ. Hence:

Combine fractions:

Simplify. Recall that sin²θ + cos²θ = 1:

Multiply the fraction by two:

Recall that sin2θ = 2sinθcosθ. Hence:

By definition:

Hence proven.

Step-by-step explanation:

Marissa created a graph with no of months since hair cut on x axis, and inches in growth as y axis.

The graph is a straight line showing the slope is a constant

The line starts with (0,0) showing that equation is

y =mx for some m

Consider any point on the graph.

(say) (2,1.5)

When x=2, y =1.5

i.e. 1.5 = 2m

Or m =0.75

Hence the line is y = 0.75x

The table corresponding to this graph would be

x    0    1        2     3       4    5      6

y     0  0.75  1.5  2.25  3  3.75  4.5