Master Verifying trigonometric identities with rational expressions

A Toyota Prius is traveling at a constant velocity of 113 km/hr. If an average force of drag of 3.0 x 10^2 N acts on the car, what is the power developed by the engine in horsepower?

Some expressions can be evaluated during compilation. This lets us improve performance, and also compute constants, which improves code readability.

• About constant expres
sions
• What code can become a
constexpr?
...

👉 Learn how to find a missing side length of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a...

👉 Learn how to convert angles from radians to degrees. Recall that pi radians is equivalent to 180 degrees. Thus, when given an angle in radians, to convert the angle to degrees we multiply the given angle radians by the ratio 180/pi.

👉 Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The...

👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...

👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...

👉 Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions. To find the values we will use the...

👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...

👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...

👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...

👉 Learn all about sum and difference angle identities. In this video playlist, you will learn how to evaluate, solve, simplify and verify using sum and difference angle identities. We will evaluate using angles not found on the unit...

👉 Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...

👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify...

👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...

In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...

Trigonometry | Preparing for Precalculus Part 6

Add and subtract fractions with unlike denominators for trigonometric expressions

👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...

This video goes over the dot product also known as the scalar product. This video goes over a proof for the geometric definition of the dot product. This video also goes over 4 examples illustrating how to find the angle between two...

Calculus is used to derive the simple harmonic motion equations for a simple pendulum. Equations derived are position, velocity, and acceleration as a function of time, angular frequency, and period. This is an AP Physics C:...

The angle between two vectors can be found by using the cosine rule in a clever way.

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right...