SOLUTION: Asked this question last night but forgot a portion of the problem.
If given SinA = -5/7 and 180° < A < 270°
Find: Sin(2A), Cos(2A), and Tan(2A)
I have the formula and am
Algebra ->
Trigonometry-basics
-> SOLUTION: Asked this question last night but forgot a portion of the problem.
If given SinA = -5/7 and 180° < A < 270°
Find: Sin(2A), Cos(2A), and Tan(2A)
I have the formula and am
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Question 1073744: Asked this question last night but forgot a portion of the problem.
If given SinA = -5/7 and 180° < A < 270°
Find: Sin(2A), Cos(2A), and Tan(2A)
I have the formula and am working through it but feel like my numbers are coming out wrong.
Since we are given 180° < A < 270°, we know A is in QIII, so we
draw angle A in QIII, and since ,
we can put angle A in a right triangle in QIII with OPPOSITE=y as
the numerator -5 and the denominator as the HYPOTENUSE=r as 7.
(We always take the hypotenuse r as positive.
Then we find the adjacent side, x, by the Pythagorean theorem:
Now you can use your formula
We know to take the negative sign since
x goes to the left.
Now use your formulas for 2A using OPPOSITE, ADJACENT and HYPOTENUSE from
the triangle graph above. Be sure to use the correct signs. The
ADJACENT or x in QIII is negative (because it goes left) and the OPPOSITE
or y in QIII is also negative (because it goes down). The hypotenuse r is
ALWAYS positive in every quadrant.
If you still get the wrong answers, tell me in the thank-you note form
below and I'll get back to you by email. No charge ever! I do this for fun.
Edwin