HSC Together Year 11 Maths Advanced: Using Trigonometric Ratios to Solve Problems (Sine, Cosine, Tangent)

• Working With Functions
• Trigonometric Functions
• Calculus
• Exponential and Logarithmic Functions
• Statistical Analysis
• Back to other subjects
Back to other subjects

# Using Trigonometric Ratios to Solve Problems (Sine, Cosine, Tangent)

### What are trigonometric ratios?

In this post, we use the sine, cosine, and tangent ratios to solve problems involving right-angled triangles where angles are measured in degrees, or degrees and minutes, as a part of the Prelim Maths Advanced course under the topic Trigonometric Functions and sub-part Trigonometry. To define trigonometric ratios, we will use a right-angled triangle, and we refer to the ratio of two different sides according to how they are placed in relation to the angle \theta . To remember our trigonometric ratios, we use SOHCAHTOA. So:

• SOH: sin(\theta) = \frac{opposite}{hypotenuse}

### What is sin, cos and tan?

This video covers where the theory of sine, cosine, and tangent, and their respective ratios by using SOHCAHTOA.

### How do I use trigonometry to solve right angle triangle questions?

This video runs over some examples of using trigonometry to solve questions involving right-angled triangles, with a clear explanation of how to approach and set out your working.

### 45,861 students have a head start...

Get exclusive HSC content & advice from our team of experts delivered weekly to your inbox!

## Here’s how we help...

### Holistic K-12 Tutoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

### Comprehensive Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

### Study, Uni, Career Mentoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

### Senior School Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

## 45,861 students have a head start...

Get exclusive study content & advice from our team of experts delivered weekly to your inbox!