Question

formula for trigonomatric ratios and reciprocal realation

Answer 1

trigonometric ratios are:
sin theta = p/h
tan theta = p/b
cot theta = b/p
cos theta= b/h
cosec theta = h/p
sec theta = h/b

formulas are:
(1) sin theta / cos theta= tan theta

(2) cos theta / sin theta = cot theta

(3) sin theta. cosec theta = 1

(4) sin theta =1/ cosec theta

(5) cosec theta =1/ sin theta

(6) cos theta . sec theta = 1

(7) cos theta = 1/ sec theta

(8) sec theta = 1/ cos theta

(9) tan theta . cot theta = 1

(10) tan theta= 1/ cot theta

(11) cot theta = 1/ tan theta

(12) sin square theta + cos square theta = 1

(13) 1 + tan square theta = sec square theta

(14) 1 + cot square theta = cosec square theta

(15) sin square theta = 1 - cos square theta

(a) sin (90- theta ) = cos theta

(b) cos (90- theta ) = sin theta

(c) tan (90- theta )= cot theta

(d) cot (90- theta) = tan theta

(e) sec (90- theta )= cosec theta

(f) cosec (90- theta ) = sec theta

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