What is the maximum value of y = 3 - 2 x?

Worked solution for TMUA-P1-MM4-010 is revealed on this page behind the solution details.

Why isn't the answer to TMUA-P1-MM4-010 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM4-010 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM4-010?

No — calculators are banned in the TMUA. TMUA-P1-MM4-010 is set for a no-calculator target of about 180 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM4-010?

TMUA-P1-MM4-010 is Paper P1 · Trigonometry (specification code MM4), level 2. Drill more of the same topic from this page.

TMUA-P1-MM4-010 — Paper P1 · Trigonometry · Level 2

P1MM4Level 2~180s target

Spec: MM4 · No calculator · ~180s

What is the maximum value of

y = 3 - 2\sin x

Options

$1$
$2$
$3$
$-1$
$5$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: trig-graph-range, max-min-swap. Name the trap first, work the stem by hand, then open the solution below.

Show solution

y = 3 - 2\sin x

is largest when

\sin x

is smallest (

-1

y = 3 + 2 = 5

. Trap:

1

uses

\sin x = 1

, which actually gives the minimum — plausible if you maximise the wrong part.

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Browse more

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Keep practising

Same topic · same level

P1MM4Level 2

TMUA-P1-MM4-005

A triangle has sides of length 5 and 7 with included angle 60^°. What is the length of the third side?

Trigonometry

Open TMUA-P1-MM4-005 →

Same trap: max-min-swap

P1MM6Level 2

TMUA-P1-MM6-008

The curve y = x^3 - 3x has a local maximum. What is its y -value?

Differentiation

Open TMUA-P1-MM6-008 →

Step up a level

P1MM4Level 3

TMUA-P1-MM4-011

A triangle has sides of length 4, 5 and 6. What is the cosine of its largest angle?

Trigonometry

Open TMUA-P1-MM4-011 →

TMUA-P1-MM4-010 — Paper P1 · Trigonometry · Level 2

Options

Keep practising

Master Trigonometry

TMUA-P1-MM4-010 — Paper P1 · Trigonometry · Level 2

Options

Keep practising

Master Trigonometry