First slide

Trignometry

Question

For an acute angle 9, sin 8 + cos 8 takes the greatest value when $θ$ is:

Moderate

A

30°
B

45°
C

90°
D

0°

Solution

y= sin $θ$ + cos $θ$ takes the greatest value if $\frac{dy}{dθ} = 0$
= cos $θ$ - sin $θ$ = 0
= tan $θ$ = 1
= $θ$ = 45°

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