Question 4 Find the values of other five trigonometric functions if sec x = 13/5, x lies in fourth quadrant.
Class X1 - Maths -Trigonometric Functions Page 63
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secx = 13/5,where x lies on 4th quadrant.
In 4th quadrant :- cosx, secx are positive . all rest are negative.
secx = 13/5 = h/b
P =√(h² - b²) = √(13²-5²) = ±12
cosx = 1/secx = 1/(13/5) = 5/13
tanx = P/b= -12/5
Cotx = 1/tanx = - 5/12
Sinx = P/h = -12/13
Cosecx = 1/sinx = -13/12
In 4th quadrant :- cosx, secx are positive . all rest are negative.
secx = 13/5 = h/b
P =√(h² - b²) = √(13²-5²) = ±12
cosx = 1/secx = 1/(13/5) = 5/13
tanx = P/b= -12/5
Cotx = 1/tanx = - 5/12
Sinx = P/h = -12/13
Cosecx = 1/sinx = -13/12
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