First slide

Trigonometric Identities

Question

If $\frac{x}{a} \cos θ + \frac{y}{b} \sin θ = 1, \frac{x}{a} \sin θ - \frac{y}{b} \cos θ = 1$ then $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} =$

Moderate

A

3
B

2
C

4
D

6

Solution

by squaring and adding $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 2$

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