Unit 8: Right Triangles and Trigonometry (2024)

Homework:

Watch and take video notes on Radical Review. Complete Google Form.
Watch and take video notes on 7.1 Pythagorean Thm. Complete Google Form.
Continue working on the Delta Math assignments. (www.deltamath.com)
Watch and take video notes on 7.2 Converse of Pythagorean Thm. Complete Google Form.

Watch and take video notes on 7.4 Special Right Triangles. Complete Google Form.
Delta Math (www.deltamath.com) 7.4 Special Right Triangle Practice

3/1: 7.1-7.2, 7.4 QUIZ(Click here for review answer key)
Watch and take video notes on 7.5/7.6 Trig Ratios. Complete Google Form.
Watch and take video notes on 7.5/7.6 Missing Side. Complete Google Form.
Watch and take video notes on 7.5/7.6 Missing Angle. Complete Google Form.
Watch and take video notes on 7.7 Solve Rt. Triangles. Complete Google Form.

7.5-7.7 QUIZ(Click here for review answer key)
Unit 8- Chapter 7 TEST(Click here for review answer key)

Notes: See Google Classroom for Video Notes

Unit 8: Right Triangles and Trigonometry (1)

vnreviewradical.pdf

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Learning Targets:

I am able to simplify radicals.
I am able to use the Pythagorean Theorem in right triangles.
I am able to use the converse to determine if a triangle is right, acute, or obtuse.
I am able to use the relationships among the sides in special right triangles.
I am able to use the tangent ratio for indirect measurement.
I am able to use the sine ratio for indirect measurement.
I am able to use the cosine ratio for indirect measurement.
I am able to use inverse tangent, sine, and cosine ratios to solve right triangles.

I am able to find the area of a triangle using multiple formulas.

Unit 8: Right Triangles and Trigonometry (2024)

FAQs

What is the formula for right triangles trigonometry? ›

Solving right triangles

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts. Pythagorean theorem: a2 + b2 = c2. Sines: sin A = a/c, sin B = b/c. Cosines: cos A = b/c, cos B = a/c.

Is the 6 8 10 triangle a right triangle? ›

Summary: A triangle has sides of lengths 6, 8, and 10 is a right triangle.

How is right triangle trigonometry used to complete the unit circle? ›

Using the definition of sine, cosine, and tangent that we gave at the beginning for angles in the right triangle we get: sin ⁡ α = y 1 , cos ⁡ α = x 1 and tan ⁡ α = y x In general, a point on the unit circle will determine an angle with the positive x-axis and the abscissa of such point will be the angle's cosine, the ...

How to calculate trigonometry? ›

Now as per sine, cosine and tangent formulas, we have here:
  1. Sine θ = Opposite side/Hypotenuse = BC/AC.
  2. Cos θ = Adjacent side/Hypotenuse = AB/AC.
  3. Tan θ = Opposite side/Adjacent side = BC/AB.

How to solve trigonometry step by step? ›

The steps to solve the trigonometric equations are:
  1. Reduce the given trigonometric equation in terms of the basic trigonometric ratios.
  2. Factorize the given trigonometric polynomial in terms of the ratio.
  3. Solve each factor and write down the general solution.

What is Soh Cah Toa? ›

"SOHCAHTOA" is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1)

Does Soh CAH TOA only work on right triangles? ›

Definition. The SOHCAHTOA method is used to find a side or angle in a right-angled triangle. The longest side of the right-angled triangle is called the hypotenuse.

Why trigonometry is used in right triangles? ›

Answer and Explanation: In order to calculate the trigonometric ratios of an acute angle of a triangle, the triangle must have a hypotenuse, and only right triangles have a hypotenuse. Therefore, we can only calculate trigonometric ratios of an acute angle using right triangles.

What is the formula for a perfect right triangle? ›

The Pythagorean Theorem describes the relationship among the three sides of a right triangle. In any right triangle, the sum of the areas of the squares formed on the legs of the triangle equals the area of the square formed on the hypotenuse: a2 + b2 = c2.

What is the formula for a right triangular? ›

These formulas are given as: Pythagoras Theorem - Formula: (Hypotenuse)2 = (Perpendicular)2 + (Base) Area of a right triangle formula: Area = 1/2 × Base × Height. Perimeter of a right triangle formula = Sum of lengths of 3 sides.

What is the formula for the right triangle rule? ›

The Pythagorean Theorem tells us that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse. In formula form, it is a^2 + b^2 = c^2, where a and b are the two sides of the right triangle and c is the hypotenuse.

What is the trigonometry formula for triangle sides? ›

By using a right-angled triangle as a reference, the trigonometric functions and identities are derived:
  • sin θ = Opposite Side/Hypotenuse.
  • cos θ = Adjacent Side/Hypotenuse.
  • tan θ = Opposite Side/Adjacent Side.
  • sec θ = Hypotenuse/Adjacent Side.
  • cosec θ = Hypotenuse/Opposite Side.
  • cot θ = Adjacent Side/Opposite Side.

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