A factory buys 7 machines. 2 Machine-A, 4 Machine-B and rest Machine-C. Prices of the machines are Rs 56000, Rs 45000 and Rs 30000 respectively.
Calculate the average cost of these machines.
1). 46000
2). 43666.66
3). 41333.33
4). 44500
2. If $tan\left(\frac{\pi}{2} - \frac{\theta}{2}\right)$ = $\sqrt{3}$ , the value of $cos\theta$ is :
3. The distance between the points (7,7) and (k,-5) is 13. Find k?
4. If α + β = 90°, then the value of (1 - sin2α) (1 - cos2α) × (1 + cot2β) (1 + tan2β) is∶
8. What is the value of 4cos330° + 2sec2 60° + tan260°sin2 45° - sin30°tan245° - 4/cosec360°?
10. If cos 4a = sin 14a, then find the value of tan 6a + cot 6a = ?