27-01-2017
Mathematics

contestada

Substitute x = 9tanθ into the expression [tex] \sqrt{81+ x^{2} } /x[/tex]

Respuesta :

LammettHash LammettHash

27-01-2017

[tex]\dfrac{\sqrt{81+x^2}}x=\dfrac{\sqrt{81+(9\tan\theta)^2}}{9\tan\theta}=\dfrac{\sqrt{81+81\tan^2\theta}}{9\tan\theta}=\dfrac{9\sqrt{1+\tan^2\theta}}{9\tan\theta}=\dfrac{\sqrt{\sec^2\theta}}{\tan\theta}=\dfrac{|\sec\theta|}{\tan\theta}[/tex]

Answer Link

Otras preguntas

Eddy Company is starting business and is unsure of whether to sell its product assembled or unassembled. The unit cost of the unassembled product is $60 and Edd

6 squared plus 4 squared equals c squared

Suppose that an increase in capital per hour worked from $15,000 to $20,000 increases real GDP per hour worked by $500. If capital per hour worked increases fur

Andrews Company manufactures a line of office chairs. Each chair takes $14 of direct materials and uses 1.9 direct labor hours at $16 per direct labor hour. The

The expression 2.5 + 2t gives the cost, in dollars, of t tulips at a flower store. Joanna has $14.00. How many tulips can she afford to buy?

Magnira Corp. is an apparel company. After a slow start, it saw a steep rise in the number of its customers and a remarkable increase in its profits. However, w

What will angle r do?

Found in Darwin's Origin of Species, this suggests that species adapt and change by natural selection and the changes aid in the survival of the organism.

A group of students is researching nonprofit organizations to partner with for their senior project. They have decided that the most important thing is that the

A sealed container has 1 mole of helium and 2 moles of nitrogen at 30DC when the total pressure of mixture is 0.60 atm what is the partial pressure of the nitro