Theme: Tangent, Cotangent, Secant, and Cosecant...

Prove the following identity :Sin α. Cos α. Tan α = (1 – Cos α) (1 + Cos α)

Find the angle of elevation from the point on the ground 90 feet from the base of a building that is 200 feet tall

Find the slope and equation of the tangent line to the graph of the function at the given value of x. f(x)=x^4-20x^2+64; x=-1

Two right triangles with the following dimensions are graphed with their hypotenuses on the same line: triangle X: Horizontal leg measures 2 units vertical leg measures 5 units triangle Y: Horizontal leg measures 7 units vertical leg measures 17.5 units Which other triangles could also have their hypotenuse on the same line? Choose all answers that are correct. A. horizontal leg measures 8 units, vertical leg measures 10 units B. horizontal leg measures 4 units, vertical leg measures 10 units C. horizontal leg measures 6 units, vertical leg measures 15 units D. horizontal leg measures 10 units, vertical leg measures 25 units

An equilateral triangle is folded in half. What is x, the height of the equilateral triangle?

A hiker whose eyes are 5.5 feet above the ground stands 25 feet from the base of a redwood tree. She looks up at an angle of 71 degrees to see the top of the tree. To the nearest tenth of a foot, what is the height of the tree?

The height, h, of the equilateral triangle is given by h =5cotΘ, where Θ is 30 degrees. Can someone with this? how to work it out.

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below: A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the Sun and the Sun and the moon is x degrees. The distance between the Earth and the moon is y. A scientist measures the angle x and the distance y between the Earth and the moon. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Earth and the Sun.

Use CALCULUS to find coordinates of the turning point on C. \( 12 \sqrt{x} -x \frac{3}{2} -10 \) I know I have differentiate etc. but I’m struggling with the differentiation! This is AS maths, Core 1.

A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. Find, to the nearest degree, the measure of the angle of elevation to the top of the building from the point on the ground where the man is standing.