# Online Trigonometry Tutoring: Trigonometric Identities

Home | Online Math Tutoring | Online Trigonometry Tutoring | Basic Trigonometric Identities

Simplify trigonometry.

Our expert and qualified trigonometry tutors understand your problems and guide you towards better grades in trigonometry. Our aim is to help the student understand concepts in trigonometry and master the techniques of solving problems quickly with confidence.

## Learn Trigonometric Identities from certified Online Trigonometry tutor:

Identity is an equation which is always true for all defined values Tangent and cotangent functions can be expressed in terms of the sine and cosine functions

tan x = cot x = These reciprocals are used to find the  value of trig functions:

sin x = ; cosec x = cos x = ; sec x = tan x = ; cot x = • Pythagorean Identities is to help simplify trigonometric expressions.
• Simplifying trigonometric expressions to create a factorable expression used to find missing trigonometric values.
• Used to find missing trigonometric values + = 1 + 1 = 1 + = Example 1

• Prove that tan y/sin y = sec y

Expressing it in terms of sin y or cos y, we get

LHS = tan y × 1/sin y

= (sin y/cos y) × 1/sin y (tan A = sin A/cos A)

= 1/cos y

= sec y                 (since 1/cos A = sec A)

= RHS

Example 2

Verify the identities

1/sec2a = sin2a . cos2a + cos4a

RHS = cos2a (sin2a + cos2a)

= cos2a (1) {we know, sin2a + cos2a =1}

= cos2a

LHS = 1/sec2a  = 1/(1/ cos2a) = cos2a

Check Point

Problem 1. If sinθ = 2/3, find cosθ.

Problem 2. If cos θ = 5/11 and sin θ = 9/11, what is the value of tan θ?

Problem 3. Express  sin 67° + cos 65°  in terms of trigonometric ratios of angle  between 0 and 45 degrees.

Problem 4. If cos θ = .7, find the value of sec θ.

1. cos θ = 2. tan θ = 9/5
3. cos 23° + sin 25°
4. sec θ = 10/7

## Why learn with eTutorWorld ?

• Meet your online expert tutor from the comfort of your home
• Experience the state-of-the-art technology by learning over LIVE tutoring sessions
• Schedule sessions at your convenient date and time
• Get a 30 day Money Back Guarantee on our online tutoring services No credit card, nor any obligation to purchase.

Schedule your FREE TRIAL session to meet an expert LIVE tutor & get all the help you want.

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?