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cosine - cos(θ) is the ratio of the opposite side to the hypotenuse.

Express cos4θ and sin4θ in terms of sines and cosines of multiples of θ

Express cos4θ and sin4θ in terms of sines and cosines of multiples of θ.
Using a trignometric identity:
cos (2θ) = cos^2(θ) - sin^2(θ)
Since 4θ = 2*2θ, so we have:
[B]cos(4θ) = cos^2(2θ) - sin^2(2θ)[/B]
Using another trignometric identity, we have:
sin(2θ) = 2 sin(θ) cos(θ)
Since 4θ = 2*2θ, so we have:
[B]sin(4θ) = 2 sin(2θ) cos(2θ)[/B]

Right Triangles

Free Right Triangles Calculator - This solves for all the pieces of a right triangle based on given inputs using items like the sin ratio, cosine ratio, tangent ratio, and the Pythagorean Theorem as well as the inradius.

Triangle Solver and Classify Triangles

Free Triangle Solver and Classify Triangles Calculator - Solves a triangle including area using the following solving methods

Side-Angle-Side (SAS) Side Angle Side

Angle-Side-Angle (ASA) Angle Side Angle

Side-Side-Angle (SSA) Side Angle Side

Side-Side-Side (SSS) Side Side Side

Area (A) is solved using Herons Formula

Law of Sines

Law of Cosines

Also classifies triangles based on sides and angles entered.

Side-Angle-Side (SAS) Side Angle Side

Angle-Side-Angle (ASA) Angle Side Angle

Side-Side-Angle (SSA) Side Angle Side

Side-Side-Side (SSS) Side Side Side

Area (A) is solved using Herons Formula

Law of Sines

Law of Cosines

Also classifies triangles based on sides and angles entered.

Trig Measurement

Free Trig Measurement Calculator - Given an angle θ, this calculates the following measurements:

Sin(θ) = Sine

Cos(θ) = Cosine

Tan(θ) = Tangent

Csc(θ) = Cosecant

Sec(θ) = Secant

Cot(θ) = Cotangent

Arcsin(x) = θ = Arcsine

Arccos(x) = θ = Arccosine

Arctan(x) =θ = Arctangent

Also converts between Degrees and Radians and Gradians

Coterminal Angles as well as determine if it is acute, obtuse, or right angle. For acute angles, a cofunction will be determined. Also shows the trigonometry function unit circle

Sin(θ) = Sine

Cos(θ) = Cosine

Tan(θ) = Tangent

Csc(θ) = Cosecant

Sec(θ) = Secant

Cot(θ) = Cotangent

Arcsin(x) = θ = Arcsine

Arccos(x) = θ = Arccosine

Arctan(x) =θ = Arctangent

Also converts between Degrees and Radians and Gradians

Coterminal Angles as well as determine if it is acute, obtuse, or right angle. For acute angles, a cofunction will be determined. Also shows the trigonometry function unit circle