If tan x = $sin 45^{0}.cos 45^{0} + sin 30^{0}$ ,then the value of x is
1). $30^{0}$
2). $45^{0}$
3). $60^{0}$
4). $90^{0}$
tanx = sin45°.cos45°+ sin 30°
= $\frac{1}{(\sqrt{2}}$ . $\frac{1}{(\sqrt{2}}$ + $\frac{1}{2}$ = 1
$\therefore$ tanx = tan 45° => x = 45° .
1. $sin^{2}\theta - 3sin\theta + 2$ = 0 will be true if
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4. If \(0 \le \theta \le \frac{\pi }{2}\) and √3 cos θ + sin θ = 2, then what is the value of θ?
5. .The least value of $tan^{2}x+cot^{2}x$ is
6. What is the value of cot 5π/3?
7. What is the simplified value of [(tan2 θ – sin2 θ)/tan2 θ sin2 θ]?