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Question

# Match the following (Figures are rough sketches) (i)sinx (ii) cosx (iii) tanx

A

i -P, ii -Q, iii -R

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B

i -Q, ii -x, iii -P

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C

i -Q, ii -P, iii -R

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D

i -R, ii -P, iii -Q

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Solution

## The correct option is C i -Q, ii -P, iii -R If we plot the values of known angles for sinx, cosx, and tanx and join them we will get the respective graphs. Let us try to plot sinx. X = 0, sinx = 0 X = π2 sin x = 1 X = π sin x = 0 X = 3π2 sin x = -1 X = 2π sin x = 0 sin x is periodic with a period of 2π, (sin(2π+x) = sin x).So we will plot for the interval [0,2π] and replicate. We can do the same for remaining functions. Graph of cos x and tan x will look the similar. tan x will be zero when x = 0 and infinity when x = π2 Graph for cos x Graph for tan x

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