questions
• Anil looked up at the top of a lighthouse from his
boat and found the angle of elevation to be 30
degrees. After sailing in a straight line 50 m towards
the lighthouse, he found that the angle of elevation
changed to 45 degrees. Find the height of the
lighthouse.
Answers
Step-by-step explanation:
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Basic Trigonometry Concepts for CAT with Questions
Sunday, June 7th, 2020
Basic Trigonometry Concepts for CAT with Questions
Trigonometry is a broad topic and hence we will cover all the concepts and sample examples in a two part post. In this first part, we would discuss concepts, formulae and some sample examples. In the second part of the post, we are following up with some more examples.
Trigonometry is the branch of mathematics that deals with the study of relationships between sides and angles of a triangle. It is derived from Greek word, Tri meaning three and Gon means Angle and Metron means Measure.
The ratio of the lengths of two sides of a right angled triangle is called a trigonometric ratio.
There are six trigonometric ratios.
Consider a right angled triangle ABC as shown below with:
AC= Hypotenuse of triangle
AB= Side adjacent to angle A
BC = Side opposite to angle A
trigonometry
Trigonometric ratios of right angled triangle ABC with ∠B = 90° :
Sin A = sine of ∠A = (side opposite to ∠A) / hypotenuse = (BC/AC)
cos A = cosine of ∠A = (side adjacent to ∠A) / hypotenuse = (AB/AC)
tan A = tangent of ∠A = (side opposite to ∠A) / (side adjacent to ∠A) = (BC/AB)
cosec A = cosecant of ∠A = 1/ sin A
sec A = secant of ∠A = 1/ cos A