if cos thita=5/9 find the value of tan thita +cosec thita
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Answer:
cos ∅ = 5/9 (given)
base/ height =5/9 ( from pythagoras formula)
perpendicular= √9² - √5²= √56 = 2√14
given question :
tan ∅ +cosec∅
= sin∅/cos∅ +1/sin∅
= 2√14/9/5/9 + 9/2√14
=2√14 /9 ×9/5 +9/2√14
=2√14 ×2√14 +5 /10√14
=4×14 + 5 /2√14
=56+5 /2√14
=61 /2√14
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