The word trigonometry comes from “*trigonon*” meaning triangle and “*metry*” meaning measurement. It is an area of math that studies the relationships between sides of triangles.. Ancient Egyptians have known theorems around similar triangles for ages and it is said that construction of pyramids use a form of trigonometry.

Trigonometry was historically used in astronomy and geography mostly for its navigation and wayward applications. The physics and engineering applications of trig are boundless. Just about every modern structure on the planet was developed and constructed using many of the root principles of trigonometry. Trig is the fundamental math used by astronomers to measure the distances between planets and stars. Architects use this form of math to design the plan for any home or building that they design. It ensures the strength of many modern structures. The geometric shapes that are displayed in most forms of architecture are constructed in that way to ensure maximum reliability of the structure, regardless of where you are located within it.

**Question 1:**

In the following triangle, find the angle x.

**Question 2:**

In the following triangle, what is the length of side ‘a’

**Question 3:**

In the following triangle, find the angle B.

**Question 4:**

If tan =√7/2and , cosθ= 2/√11 ,then what is the value of sinθ ?

**Question 5:**

If cos (40°+ x) = sin 30°, then what is the value of x ?

**Question 6:**

What is the value of tan1°tan2°tan3°…tan89°

**Question 7:**

If A and B are acute angles and sin A = cos B , show that A + B = 90.

**Question 8:**

What is the value of cos30°sin45° + sin30°tan30°

**Question 9:**

What is the value of SinD ?

**Question 10:**

What is the value of tan 7pi/6 and cos 11pi/6 ?

Hope these questions serve as a test of basic concepts of trigonometry, thank you.

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