# How to solve basic problems in trigonometry?(concept-2)

# Mathematics tutor

Mathematics tutor give great importance to Trigonometry

Trigonometry is one of the fascinating branches of Mathematics. It deals with the relationships between the sides and angles of a triangle. Word trigonometry was originated from the Greek word, where, ‘**TRI**‘ means *Three*, **‘GON**‘ means *sides* and the **‘METRON’** means to **measure. **It’s an ancient and probably most widely used branch Mathematics.

For basic learning, Mathematics tutor divide trigonometry in two part:-

1 Trigonometry based on right triangles

1 Trigonometry based on non-right triangles.

In this post, we will discuss problems based on trigonometric ratios of a few specific angles like **0°,30°, 45°, 60° and 90°. **Mathematics tutor use different tricks to form this table. I will discuss my tricks in a separate post

Concept-2

In a trigonometric problem, If we are given a trigonometric ratio with a specific angle, we will first put the value of that ratio from above table and do simplification. Simplification is usually based on L.C.M and rationalisation.

**Example-1 Find the value of 4/3 tan²60° + 3 cos²30° – 2 sec²30° – 3/4 cot²60°**

Solution: 4/3 tan²60° + 3 cos²30° – 2 sec²30° – 3/4 cot²60°

**Example-2 ****If A = 60° and B = 30°, verify sin (A – B) = sin A cos B – cos A sin B**

**Solution:**

**L.H.S.** = sin (A – B)

= sin (60° – 30°)

= sin 30°

= ½

**R.H.S.** = sin A cos B – cos A sin B

= sin 60° cos 30° – cos 60° sin 30°

= 3√2×3√2−12×12

= ¾ – ¼

= 2/4

= ½

Therefore, L.H.S. = R.H.S. (Proved)

To get a better understanding of the concept you should check all my posts of Mathematics tutor series. you can check them by clicking on the links given below

My name is Ravi K , I am Mathematics Lecturer I want to join your group as a tutor. What are the step should one follow to join the group as a tutor?, please let me know.

Thank you,

Ravi K

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