prepare for basic trigonometry problems

To solve a right angled triangle, we need to find out the unknown sides and the angles with the help of t-ratios. To find a side, usually we take such t-ratios that involve the unknown sides. We have taken A because, the side opposite to A is the unknown side. By this simple obs..

To solve a right angled triangle, we need to find out the unknown sides and the angles with the help of t-ratios. To find a side, usually we take such t-ratios that involve the unknown sides. In the figure, AB = 100 cm, find (i) x and (ii) y. x = 0.7660 x 100 = 76.60 cm y = 0.6428 x 100 = 64.28 cm...

A part of the natural cosine tables is given below: Find from the tables the value of (i) cos 37 o (ii) cos 37 o 42 ' (iii) cos 37 o 45 ' (i) cos 37 o Find 37 o on the 'Natural Cosines' table in 'A' group. As there are no minutes, the value is read horizontally under the 0 ' column. cos 37 o = 0.78..

An extract from the natural tangent tables is given below: From the tables find the value of (i) tan 51 o (ii) tan 51 o 18 ' (ii) tan 51 o 23 ' (i) tan 51 o Find angle 51 o on the 'Natural Tangent' table in 'A' group. As there are no minutes, tan 51 o = 1.235. Value is read horizontally, under the ..

Trigonometric tables are used - to find the value of a t-ratio when the angle is given - to find the angle when the value of the t-ratio is given As an angle increases, the sine ratio increases, the cosine ratio decreases and the tangent ratio increases..

The t-ratios of acute angles are given in tables of natural sines, natural cosines and natural tangents. In this chapter, we will discuss (i) how to read trigonometric tables, (ii) how to find the angle when the value of a t-ratio is give..

The Indian mathematician Aryabhata, gave tables of half chords which are now known as sine tables, along with cosine tables. The sine and cosine functions are fundamental to the theory of periodic functions such as those that describe sound and light wave..

Trigonometric tables are used (1). to find the value of a t-ratio when the angle is given. (2). to find the angle when the value of the t-ratio is given As an angle increases, the sine ratio increases, the cosine ratio decreases and the tangent ratio increases...

1. sin A = cos (90 o - A) 2. 3. tan A x tan (90 o - A) = 1 4. sin 2 A + cos 2 A = 1 5. 1 + tan 2 A = sec 2 A 6. 1 + cot 2 A = cosec 2 A Let us prove the above identities. Let D ABC be a right-angled triangle with B = 90 o . Let BC = a, AC = b and AB = c. (1) A + C = 90 o C =..

1. sin A = cos (90 o - A). 2. sin A / cos a = tan A. 3. tan A x tan (90 o - A) = 1. 4. sin 2 A + cos 2 A = 1. 5. 1 + tan 2 A = sec 2 A. 6. 1 + cot 2 A = cosec 2 A. Where 'A' is the angl..