sin2x =12/13
cos2x = 5/13
tan2x = 12/5
STEP - BY - STEP EXPLANATION
What to find?
• sin2x
,
• cos2x
,
• tan2x
Given:
tanx = 2/3 = opposite / adjacent
We need to first make a sketch of the given problem.
Let h be the hypotenuse.
We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.
Using the Pythagoras theorem;
hypotenuse² = opposite² + adjacent²
h² = 2² + 3²
h² = 4 + 9
h² =13
Take the square root of both-side of the equation.
h =√13
This implies that hypotenuse = √13
We can now proceed to find the values of ainx and cosx.
Using the trigonometric ratio;
And we know that tanx =2/3
From the trigonometric identity;
sin 2x = 2sinxcosx
Substitute the value of sinx , cosx and then simplify.
Hence, sin2x = 12/13
cos2x = cos²x - sin²x
Substitute the value of cosx, sinx and simplify.
Hence, cos2x = 5/13
tan2x = 2tanx / 1- tan²x
OR
Hence, tan2x = 12/5
Therefore,
sin2x =12/13
cos2x = 5/13
tan2x = 12/5
2 times a number minus 9 is less than or equal to 21. and in inequality form that’s: 2x - 9 >_ 21 and u make a number line and a closed circle on 15 and an arrow going right. i hope i understood your question right
You didn't tell us what the choices are, so there's
nothing to pick from.
The most accurate estimation of (54 - 16) is 38 .
we can use properties of functions to find this out
for
if b is even, then the ends of the function go in the same directions (both up or both down)
if b is odd, then the ends of the function go in different directions (one up and one down)
if a is positive and b is even, then both ends point up
if a is positve and b is odd, then it goes from bottom left to top right
if a is negative and b is even, then both ends point down
if a is negative and b is odd, then it goes from top left to bottom right
given
a=5>0
b=4 which is even
so it has both ends pointing up
bottom right graph is yo answer