First slide

Trigonometric Identities

Question

If $\sin θ = \frac{a - 4}{2}$ then ‘a’ lies in

Very Easy

A

$a \in [2, 6]$
B

$a \in [3, 4]$
C

$a \in [2, 3]$
D

$a \in [0, 5]$

Solution

$\begin{array}{l} - 1 \leq \sin θ \leq 1 \\ \Rightarrow - 1 \leq \frac{a - 4}{2} \leq 1 \\ \Rightarrow - 2 \leq a - 4 \leq 2 \\ \Rightarrow 2 \leq a \leq 6 \\ \Rightarrow a \in [2, 6] \end{array}$

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