How to Use sin() and cos() in ink! Smart Contracts?

Question

I'm working on a smart contract using the ink! framework for Polkadot, and I need to perform some trigonometric calculations, specifically using the sin() and cos() functions. Since ink! is based on Rust, I understand I can use Rust's standard math library, but I have some questions about the best way to do this.

    pub fn calculate_distance(lat1: f64, lon1: f64, lat2: f64, lon2: f64) -> f64 {
        let r = 6371000.0; // Radius of the Earth in meters
        let d_lat = to_radian((lat2 - lat1) as f64);
        let d_lon = to_radian((lon2 - lon1) as f64);

        let a = (d_lat / 2.0).sin() * (d_lat / 2.0).sin()
            + to_radian(lat1 as f64).cos()
                * to_radian(lat2 as f64).cos()
                * (d_lon / 2.0).sin()
                * (d_lon / 2.0).sin();

        let c = 2.0 * a.sqrt().atan2((1.0 - a).sqrt());

        r * c
    }

i get the following error message while compiling the ink! contract

error[E0599]: no method named `cos` found for type `f64` in the current scope
  --> /Users/dave/Work/match-contract-polkadot/lib.rs:50:38
   |
50 |             + to_radian(lat1 as f64).cos()
   |                                      ^^^ method not found in `f64`

error[E0599]: no method named `cos` found for type `f64` in the current scope
  --> /Users/dave/Work/match-contract-polkadot/lib.rs:51:42
   |
51 |                 * to_radian(lat2 as f64).cos()
   |                                          ^^^ method not found in `f64`

error[E0599]: no method named `sin` found for type `f64` in the current scope
   --> /Users/dave/Work/match-contract-polkadot/lib.rs:52:33
    |
52  |                 * (d_lon / 2.0).sin()
    |                                 ^^^
    |
help: there is a method `min` with a similar name, but with different arguments
   --> /Users/dave/.rustup/toolchains/stable-aarch64-apple-darwin/lib/rustlib/src/rust/library/core/src/num/f64.rs:963:5
    |
963 |     pub fn min(self, other: f64) -> f64 {
    |     ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

error[E0599]: no method named `sin` found for type `f64` in the current scope
   --> /Users/dave/Work/match-contract-polkadot/lib.rs:53:33
    |
53  |                 * (d_lon / 2.0).sin();
    |                                 ^^^
    |
help: there is a method `min` with a similar name, but with different arguments
   --> /Users/dave/.rustup/toolchains/stable-aarch64-apple-darwin/lib/rustlib/src/rust/library/core/src/num/f64.rs:963:5
    |
963 |     pub fn min(self, other: f64) -> f64 {
    |     ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

error[E0599]: no method named `sqrt` found for type `{float}` in the current scope
  --> /Users/dave/Work/match-contract-polkadot/lib.rs:55:48
   |
55 |         let c = 2.0 * a.sqrt().atan2((1.0 - a).sqrt());

Questions:

• Is there any concern with using floating-point numbers in ink! contracts, specifically for trigonometric functions like sin() and cos()?
• Would it be better to implement fixed-point math instead of using f64 for more precision and gas efficiency?
• Are there any best practices for handling math operations like these in smart contracts on Polkadot? Thanks for the help!