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##### 10. A horse is tethered to a peg by a rope of 9 meters length and it can move in a circle with the peg as centre. If the horse moves along the circumference of the circle keeping the rope tight how far will it have gone when the rope has turned through an angle of 70^{\circ} ?

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}