Select Page

# Trigonometric Ratios for 0°, 30°, 45°, 60° angles

Home | Online Math Tutoring | Online Trigonometry Tutoring | Trigonometric Ratios for Angles

## What are Trigonometric Ratios?

✓  Ratios of the sides in a right triangle with respect to some acute angles are called trigonometry ratios for specific angles.

✓  The angles  0°, 30°, 45°, 60°, 90° are useful angles in trigonometry.

✓  Trigonometric ratios of angles help in simplifying problems.

## Values of Trigonometric Ratios for 0°, 30°, 45°, 60° angles

Example 1

Find: Cosec230° Sin230° – Sec260°

Putting the values of Cosec 30˚ = 2, sin 30° = 1/2, sec 60° = 2

We get,

=  (2)2 x (1/2)2 – (2)2

=    (4 x ¼) – 4

=  1 – 4 = -3

Example 2

Evaluate3(cos 30°)2 + (sin 30°)2

We know, cos 30° = √3/2  and sin 30° = 1/2

3(√3/2)2 + (1/2)2

3 x 3 /4   + 1/4

= 9/4 + 1/4

= 10/4

= 5/2

Checkpoint

Problem 1.  2 sin 30° + 2cos 60° – 3 tan 45°

Problem 2.  sec245° +  cosec3 30° – 3 tan 45°

Problem 3.  Solve: sin2 60°+ cos2 (3x – 9)  = 1

1. -1
2. 7
3. x = 23

## Why learn with eTutorWorld ?

• Experience the state-of-the-art technology
• Enjoy one-on-one live online coaching

No credit card is required, nor are you under any obligation to make a purchase.

Just schedule the FREE TRIAL session to meet our expert tutor & get help.

Our Learning by Design methodology focuses exclusively on individual students. Our expert tutors are specially trained to identify and diagnose the needs and skills of each student and plan future tutoring lessons accordingly.

Know more about our Personalised Online Tutoring  Packs.

+1-269-763-4602

+1-269-763-5024

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. eTutorWorld provides the best K-12 Online Tutoring Services so you can learn from the comfort and safety of your home at an affordable cost.

Be it an exam, class test or a quiz, eTutorWorld’s Math, Science and English tutors are responsible for your academic progress. Meet your personal coach at your convenient day and time to get help for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. All our tutors are graduates and bring with them years of teaching experience to the tutoring lessons.

Our ‘Learning by Design’ methodology makes sure that each student is at the center of the teaching-learning process. All tutoring sessions start with a question to the student ‘What do you want to learn today?’ Hence, tutors diagnose your skills and recognize your requirements before the actual tutoring happens. Post every tutoring session, an individualized worksheet is emailed to the student to assimilate learned concepts. Regular formative assessments are used to evaluate a student’s understanding of the subject.

The state of the art technology used is stable, user friendly and safe. All you need is a computer or a tablet and an internet connection. The easy-to-use web conferencing software requires a one time download, using which the student can talk and chat to the tutor, annotate on an interactive shared whiteboard or even share documents, assignments or worksheets.

All tutoring sessions are recorded and made available for a month so you can review concepts taught.

Email or call our support team with any issues or questions – we are here for you 24X7.

Also, download free printable math and science worksheets in pdf format and solve SCAT and SSAT Practice Tests online. Sign up for a Free Trial Lesson Today!

Thousands have taken the eTutorWorld Advantage – what are you waiting for?