Given that tan xº = 3/7 ,find cos (90 - x)º giving the answer to 4 significant figures.
When you posted that before, you forgot to give us the value of tan xº
I had made up an arbitrary value to show how it was done.
Now that you have a value, surely you can put in those values instead
of the ones I used.
https://www.jiskha.com/questions/1814414/given-that-tan-x-find-cos-90-x-giving-the-answer-to-4-significant-figures
I need assistance
Leonard
55.7
To find cos(90 - x)º, we need to use the identity cos(90 - x) = sin(x).
First, we are given that tan xº = 3/7. We know that the tangent function is equal to the ratio of the sine and cosine functions: tan xº = sin xº / cos xº.
Rearranging the equation, we get sin xº = tan xº * cos xº.
We can substitute the given value of tan xº = 3/7 into this equation: sin xº = (3/7) * cos xº.
Now, we need to find cos (90 - x)º. Using the identity mentioned earlier, cos (90 - x)º = sin xº.
Therefore, the value of cos (90 - x)º is equal to sin xº, which is obtained from sin xº = (3/7) * cos xº.
To find the value of cos (90 - x)º, we need to find the value of cos xº. Since we have only been given the value of tan xº, we need to find cos xº using the given information.
We can use the Pythagorean identity to find cos xº, which states that for any angle x, sin² x + cos² x = 1.
We know that tan xº = sin xº / cos xº. Rearranging this equation, we get cos xº = sin xº / tan xº.
Substituting the given value of tan xº = 3/7 into this equation, we have cos xº = sin xº / (3/7), which simplifies to cos xº = (7/3) * sin xº.
Now we have two equations: sin xº = (3/7) * cos xº and cos xº = (7/3) * sin xº.
We can solve these equations simultaneously to find the values of sin xº and cos xº.
By substituting the value of cos xº from the second equation into the first equation, we get sin xº = (3/7) * [(7/3) * sin xº].
Simplifying, we have sin xº = sin xº.
This equation shows that sin xº is equivalent to sin xº. Therefore, we cannot determine the exact value of sin xº or cos xº without additional information.
Hence, we cannot find the precise value of cos (90 - x)º without more details.