jedishrfu said:the answer is right in front of you.
As x approaches zero then what is the value of cosx?
and you have the sinx/x as x approaches zero so everything is there for you
TommG said:Does x/sinx = 1 also?
I thought sinx had to be in the numerator for it to = 1
The basic trigonometric functions used in solving limits are sine, cosine, tangent, cotangent, secant, and cosecant. These functions are based on the ratios of sides in a right triangle and can be used to solve limits involving angles.
Trigonometric identities, such as the Pythagorean identities, can be used to simplify trigonometric expressions and make them easier to solve for limits. These identities can also be used to convert trigonometric functions into other forms, such as using sine and cosine to represent tangent.
Yes, the squeeze theorem can be used to solve limits involving trigonometric functions. This theorem states that if a function is squeezed between two other functions that have the same limit, then the middle function will also have the same limit. This can be applied to trigonometric functions by using trigonometric identities to manipulate the functions into a form that can be squeezed.
To determine if a limit involving trigonometric functions is indeterminate, you can try to evaluate the limit directly. If the result is undefined, such as 0/0 or ∞/∞, then the limit is indeterminate. Other methods, such as L'Hôpital's rule, can also be used to determine if a limit is indeterminate.
Yes, there are a few special cases to consider when solving limits with trigonometric functions. These include limits involving infinity, limits involving trigonometric functions with different arguments, and limits involving trigonometric functions with different powers. In these cases, special techniques, such as using trigonometric identities or substitution, may be necessary to solve the limit.