Prove that seca+tana=2x, Mathematics

If secA= x+1/4x, prove that secA+tanA=2x or  1/2x.

Ans:    Sec? = x +  1/4x

⇒ Sec2? =( x + 1/4x)2                             (Sec2?= 1 + Tan2?)

Tan2? = ( x + 1/4x)2-1

Tan2? = ( x - 1/4x)2

Tan? = + x - 1/4x

Sec? + Tan? = x + 1/4x + x-1/4x

=2x or 1/2x

Posted Date: 4/9/2013 1:23:44 AM | Location : United States







Related Discussions:- Prove that seca+tana=2x, Assignment Help, Ask Question on Prove that seca+tana=2x, Get Answer, Expert's Help, Prove that seca+tana=2x Discussions

Write discussion on Prove that seca+tana=2x
Your posts are moderated
Related Questions
fixed cost of $1400 ,printing cost of .40 cents -each item to sell for $1.05. what is linear cost function, linear revenue function and number of items to be sold to make a profit

Hanna's sales target for the week is $5,000. So far she has sold $3,574.38 worth of merchandise. How much more does she required to sell to meet her goal? You must ?nd out the

A tower and a monument stand on a level plane. the angles of depression on top and bottom of the monument viewed from the top of the tower are 13 degrees and 31 degrees, respective

Michael has 16 CDs. This is four more than twice the amount that Kathleen has. How many CDs does Kathleen have? Let x = the number of CDs Kathleen has. Four more than twice th

If you have 60% alcohol and wish to dilute with water to make 12 liters 40% alcohol, How many liters of water should you add?

t=w,w 2 L.H.S (w+w 2 ) + (w 2 + w) 2 ........  1  + 1 ..... But every third term is of the form: (w 3n +w 3n ) 2 =22 There are nine such terms. Their sum is 36. The rema

Children of the same age can be at different operational stages, and children of different ages, can be at the same developmental stage." Do you agree with this statement? If so, g

Jack and his mother paid $11.50 for tickets to the movies, and adults tickets cost $4.50 more than a child ticket what was the cost of each ticket?

Regression - Measures of Relationships - It is a concept that refers to the changes which happen in the dependent variable as a result of changes happens on the independent va

Ask question what is half of 1 1/3 liquid measurements?