First slide

Trigonometric Identities

Question

If $\sin^{2} θ = \frac{x^{2} + y^{2} + 1}{2 x}$ then x rnust be

Moderate

A

-3
B

-2
C

1
D

none of these

Solution

$\begin{array}{l} \sin^{2} θ \leq 1 \\ \Rightarrow \frac{x^{2} + y^{2} + 1}{2 x} \leq 1 \\ or x^{2} + y^{2} - 2 x + 1 \leq 0 \\ or (x - 1)^{2} + y^{2} \leq 0 \end{array}$

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