Question

Find the values of the other five trigonometric functions in each of the following:

(i) cot x = 12/5, x in quadrant III

(ii) cos x = -1/2, x in quadrant II

(iii) tan x = 3/4, x in quadrant III

(iv) sin x = 3/5, x in quadrant I
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Answer 1

Step-by-step explanation:

(I) cot x = 12/5 (b/p)

( hp)^2 = b^2+p^2

12^2+5^2

= 144+25 =169

hp = 13

b= 12 , p= 5

so

sin x = p/hp= 5/13

cos x = b/hp = 12/13

tan x = p/b = 5/12

cosec x =hp/p = 13/5

sec x =hp/b = 13/12