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Graph y = tan ( x ).
Solution
In the case of tangent we need to be careful while plugging x's in since tangent doesn't present wherever cosine is zero (remember that tan x = sin x/ cos x). Tangent will not preent at
x = ........, - 5 ∏/2 , - 3 ∏/2 , - ∏/2 , ∏ /2, 3 ∏/2 , 5 ∏/2 ,........
and at these pts the graph will have asymptotes. Following is the graph of tangent on the range - 5 ∏/2
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If secA= x+1/4x, prove that secA+tanA=2x or 1/2x. Ans: Sec? = x + 1/4x ⇒ Sec 2 ? =( x + 1/4x) 2 (Sec 2 ?= 1 + Tan 2 ?) Tan 2 ? = ( x +
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2^(x) + 2^(x+3)=36
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