Show that tan = 1/v3 , Mathematics

Assignment Help:

If 7sin2?+3cos2? = 4, show that tan? =   1/√3                      .

Ans:    If 7 Sin2? + 3 Cos2? = 4 S.T. Tan?  1/√3

7 Sin2? + 3 Cos2? = 4 (Sin2? + Cos2?)

⇒ 3 Sin2? = Cos2?

Sin 2? / Cos 2?  =   1/3

⇒ Tan2? = 1/3

Tan? =   1/√3

 


Related Discussions:- Show that tan = 1/v3

Find the third vertex of equilateral triangle, If two vertices of an equila...

If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex. [Ans: 3/2 , 3/√ 3/2  or 3/2, -3√ 3/2] Ans:    OA = OB = AB OA 2 = OB 2 = AB 2

Determine the numbers of sides in regular polygon, If each interior angle o...

If each interior angle of a regular polygon has a calculated as of 144 degrees, Determine the numbers of sides does it have? a. 8 b. 9 c. 10 d. 11   c. The measur

Iit-jee questions, can u tell me a website for iit-jee questions?

can u tell me a website for iit-jee questions?

Relative measures of dispersion, Relative measures of dispersion Defi...

Relative measures of dispersion Definition of Relative measures of dispersion: A relative measure of dispersion is a statistical value that may be utilized to compare va

Example of the invisible effort, Imagine a time in history when the number ...

Imagine a time in history when the number system had not yet evolved a farmer needed to keep track of his cattle. What would he do to figure out whether his entire rattle returned

Evaluate the volume of a ball, Evaluate the volume of a ball whose radius i...

Evaluate the volume of a ball whose radius is 4 inches? Round to the nearest inch. (π = 3.14) a. 201 in 3 b. 268 in 3 c. 804 in 3 d. 33 in 3 b. The volume of a

Geometric mean, When three quantities a, b and c are in G.P., t...

When three quantities a, b and c are in G.P., then the geometric mean "b" is calculated as follows. Since these quantities are in G.P., the r

Cardioids and limacons - polar coordinates, Cardioids and Limacons Thes...

Cardioids and Limacons These can be split up into the following three cases. 1. Cardioids: r = a + a cos θ and r = a + a sin θ. These encompass a graph that is vaguel

Think smarter, compare: 643,251; 633,512; and 633,893. the answer is 633,51...

compare: 643,251; 633,512; and 633,893. the answer is 633,512. what is the question?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd