trigonometry


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Napier's Analogy
In any triangle ABC, with sides a = BC, b = CA and c = BA, then prove that ..
Cosine Formula (Cosine Rule)
If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that a 2 = b 2 + c 2 - 2 bc cos A, b 2 = c 2 + a 2 - 2 ca cos B, c 2 = a 2 + b 2 - 2 ab cos ..
Theorem 4
General solution of acos q + bsin q = ..
Theorem 2
General solution of cos q = ..
Co-terminal Angles
The angles (2 p + A), (4 p + A)......have the same initial and terminal arm as the angle A and so these angles are called co-terminal angles . For all such angles, the value of any trigonometric ratio is the same. Thus, all co-terminal angles are trigonometrically equivalen..
Question 1
Question: How many radian are there in 120 o 30'? Keep the answer correct to three decimal places ( p = 3.1416). Answer: 180 o = p c ..
Question 3
Question: Assuming the mean distance of the earth from the sun to be 149700000 km and the angle subtended by the sun at the eye of a person on the earth is 32'. Find the suns diameter. Answer: Let D be the diameter of the sun in km. The angle subtended by the sun being very small, its d..
Question 5
Question: Prove the following identity: Answer: ..
Question 7
Question: Prove the following identity: Answer: ..
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