$Tan 45^{0} + Cosec 60^{0}$ =1). $\frac{\left(1 + 2\sqrt{2}\right)}{2}$2). $\frac{\left(\sqrt{3}+\sqrt{2}\right)}{\sqrt{6}}$3). $\frac{5}{\sqrt{3}}$4). $\frac{\left(3 + 2\sqrt{3}\right)}{3}$
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1. In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60o. Then the angle ∠BOC will be
2. What is the value of sin 75° + sin 15°?
3. \(\frac{{{{\sec }^2}\theta - {{\cot }^2}\left( {90^\circ - \theta } \right)}}{{cose{c^2}67^\circ - {{\tan }^2}23^\circ }} + {\sin ^2}40^\circ + {\sin ^2}50^\circ\)is equal to
4. The value of the following is $\left(\frac{sin47^{0}}{cos43^{0}}\right)^{2} + \left(\frac{cos43^{0}}{sin47^{0}}\right)^{2} - 4cos^{2}45^{0}$
5. $sin^{2}\theta - 3sin\theta + 2$ = 0 will be true if
6. If $sin\theta$ = $\frac{3}{5}$ , then the value of $\frac{tan\theta+cos\theta}{cot\theta+cosec\theta}$ is equal to
7. From the top of a tower 100 m high, a man observes two cars on the opposite sides of the tower with angles of depression 30° and 45° respectively. Find the distance between the cars. [Use √3 = 1.732]
8. Arc tan [2 cos (arc sin [(3^(1/2))/2]) / 2]) is equal to
9. $\triangle ABC $is right angled at B. If $\angle A$ = $60^{0}$, then what is the value of sec C.sin A?
10. From the top of a building 75 meters high, the angle of depression of the top and bottom of a tower are observed to be 30° and 60°. The height of the tower in meters is
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