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- Introduction to Trigonometry

Still Confused?

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Try reviewing these fundamentals first

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Get Started Now- Intro Lesson13:03
- Lesson: 11:53
- Lesson: 27:16
- Lesson: 3a3:38
- Lesson: 3b3:26
- Lesson: 3c3:21
- Lesson: 42:29
- Lesson: 4a1:06

Tangent ratio is yet another trigonometric ratio for right-angled triangles. Tangent ratio is the ratio of opposite side to adjacent side of a right triangle. Same as the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right angle triangles.

Related Concepts: Law of sines, Law of cosines, Find the exact value of trigonometric ratios, Unit circle

- IntroductionWhat are sine, cosine and tangent?
- 1.Determine each tangent ratio using a calculator

i) $\tan 70^\circ$

ii) $\tan-134^\circ$ - 2.Determine the angle to the nearest degree using a a calculator

i) $\tan \theta = 0.64$

ii) $\tan \theta = -1.45$ - 3.Determine the angles and sides using Tangenta)Find angle A and B:

b)Find the value of "x" using tangent

c)Find the value of "x" using tangent

- 4.Draw and label a right triangle to illustrate tangent ratio, then calculate the angle.a)$\tan \theta = {5 \over 9}$

30.

Introduction to Trigonometry

30.1

Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )

30.2

Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )

30.3

Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )

30.4

Combination of SohCahToa questions

30.5

Solving expressions using 45-45-90 special right triangles

30.6

Solving expressions using 30-60-90 special right triangles

30.7

Word problems relating ladder in trigonometry

30.8

Word problems relating guy wire in trigonometry

30.9

Other word problems relating angles in trigonometry

We have over 1380 practice questions in NZ Year 11 Maths for you to master.

Get Started Now30.1

Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )

30.2

Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )

30.3

Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )

30.4

Combination of SohCahToa questions

30.5

Solving expressions using 45-45-90 special right triangles

30.6

Solving expressions using 30-60-90 special right triangles

30.7

Word problems relating ladder in trigonometry

30.8

Word problems relating guy wire in trigonometry

30.9

Other word problems relating angles in trigonometry