In Exercises 6 and 7, find sin J, sin K, cos J, cos K, tan J and tan K. Write each answer as a fraction and as a decimal rounded
to four places.
2 answers:
Answer: Refer to the diagram below for the answers
========================================================
Explanation:
The rules I'm using are
- sin(angle) = opposite/hypotenuse
- cos(angle) = adjacent/hypotenuse
- tan(angle) = opposite/adjacent
The opposite side is the leg furthest from the reference angle. For example, if J is the reference angle, then leg LK is the opposite side. The adjacent side would be JL for reference angle J. The opposite and adjacent swap when you swap the reference angle.
The hypotenuse is always the longest side and always opposite the largest angle (always opposite the 90 degree angle).
------------
An example calculation would be:
sin(angle) = opposite/hypotenuse
sin(J) = LK/JL
sin(J) = 30/34
sin(J) = 0.8824
I'm referring to the triangle with sides 16,30,34. The other trig ratios are handled in pretty much the same way (use the rules mentioned above).
You might be interested in
Answer:
is the simplest form of given expression.
Step-by-step explanation:
The given question is
To solve the problem we have to group or split middle term and then factorise
Taking common from first two terms of denominator and 2 from next two terms
Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms
Now cancel out x-1 from both numerator and denominator we get
is the required simplest form.
Answer:
f(n) = f(n - 1) + 3
Step-by-step explanation:
Substitute to get the recursive formula.
OPTION 1: f(n) = f(n - 1) + 3
Substituting n = 1.
f(1) = f(1 - 1) + 3 = 0 + 3 = 3.
Substituting n = 2.
f(2) = f(2 - 1) + 3 = f(1) + 3 = 3 + 3 = 6.
Substituting n = 3.
f(3) = f(3 - 1) + 3 = f(2) + 3 = 6 + 3 = 9.
The numbers match the given sequence. So, we say the above recursive formula represents the sequence.
OPTION 2: f(n) = f(n - 1) + 2
Substituting n = 1
f(1) = f(0) + 2 3.
So, this is eliminated.
Similarly, OPTION 3 and OPTION 4 can be eliminated as well.