# First Year Math Fundamentals of Trigonometry

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$Q.43 1-\sec ^{2} \theta= is equal to(a) \tan ^{2} \theta (b) -\tan ^{2} \theta (c) \tan ^{2} \theta-1 (d) 1-\tan ^{2} \theta$

$1. Verify the following:(iii) 2 \sin 45^{\circ}+\frac{1}{2} \operatorname{cosec} 45^{\circ}=\frac{3}{\sqrt{2}}$

$2. Evaluate the following:ii) \frac{1-\tan ^{2} \frac{\pi}{3}}{1+\tan ^{2} \frac{\pi}{3}}$

$Q.21 80^{\circ}= (a) \frac{5 \pi}{6} radians (b) \frac{4 \pi}{9} radians (c) \frac{\pi}{4} radians(d) 180 \pi radians$

$Evaluate:1. \sin \frac{\pi}{3} \cos \frac{\pi}{6}-\cos \frac{\pi}{3} \sin \frac{\pi}{6}$

$1. Find the signs of the following trigonometric functions.(v) \tan 299^{\circ}$