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C3 trig help!

2sin(θ+π/6)

State the maximum value : 2

How do i find the smallest positive value of θ for which this maximum value occus. Please someone help im confused! :frown:

Reply 1

xDesertRose

S**t i got it! Dw guys false alarm

Reply 2

Nazmul_1994

Equate it to 2, so u got 2sin(Θ+Π/6)=2

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Reply 3

super121

Make it equal to 1, and solve to find theta :smile:

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Reply 4

Nazmul_1994

Then u divide both sides by 2 so u get sin(Θ+Π/6)=1

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Reply 5

xDesertRose

Original post by Nazmul_1994

Equate it to 2, so u got 2sin(Θ+Π/6)=2

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Original post by super121

Make it equal to 1, and solve to find theta :smile:

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Awkward... I made it equal to pi/2 where the maximum of the graph sin(x) is?

Reply 6

nerak99

Well you start by realising that this means sin(x+pi/6)=1. The first value of (x+pi/6) is sin^-1(1)=pi/2 which gives you a straightforward equation to solve.
They say the first value because sin repeats every 2pi