Example 6 - Chapter 3 Class 11 Trigonometric Functions (Term 2)
Last updated at Feb. 12, 2020 by
Transcript
Example 6 If cos𝑥 = – 3/5 , x lies in third quadrant, find the values of other five trigonometric functions. Since x is in lllrd Quadrant sin and cos will be negative But tan will be positive Given cos x = (−3)/5 We know that sin2 x + cos2 x = 1 sin2 x + ((−3)/5)^2 = 1 sin2 x + 9/25 = 1 sin2 x = 1 – 9/25 sin2 x = (25 − 9)/25 sin2 x = (25 − 9)/25 sin2x = 16/25 sin x = ±√(16/25) sin x = ± 4/5 Since, x is in lllrd Quadrant And sin x is negative lllrd Quadrant ∴ sin x = −𝟒/𝟓 tan x = sin𝑥/cos𝑥 = (− 4/5)/(− 3/5) = (−4)/5 × 5/(−3) = 𝟒/𝟑 cot x = 1/tan𝑥 = 1/(4/3) = 𝟑/𝟒 cosec x = 1/sin𝑥 = 1/(− 4/5) = (−𝟓)/𝟒 sec x = 1/cos𝑥 = 1/((−3)/5) = 5/(−3) = (−𝟓)/𝟑
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Example 20 Deleted for CBSE Board 2022 Exams
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Chapter 3 Class 11 Trigonometric Functions (Term 2)
Serial order wise
- Ex 3.1
- Ex 3.2
- Ex 3.3
- Ex 3.4
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.
