How do you find the remaining trigonometric functions of #theta# given #tantheta=3/4# and #theta# terminates in QIII?

Question

How do you find the remaining trigonometric functions of #theta# given #tantheta=3/4# and #theta# terminates in QIII?

1 Answer

Impact of this question

4764 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-05T15:10:12

#3/5,5/3,4/5,5/4,4/3#

Explanation:

We know tan#theta# = 3/4 = height/base of a right angle triangle.

Hence, hypotenuse = #sqrt(base^2 + height^2)# = #sqrt(4^2+3^2)#

= #sqrt 25 = 5#

Hence sin#theta = ("height")/("hypotenuse") = -3/5#
cosec#theta = 1/sintheta= -5/3#.
cos#theta =("base")/("hypotenuse") = -4/5#
sec#theta =1/costheta = -5/4#
cot#theta = 1/tantheta = 4/3#

Science

Math

Humanities

... and beyond

How do you find the remaining trigonometric functions of #theta# given #tantheta=3/4# and #theta# terminates in QIII?

1 Answer

Explanation:

Related questions

Impact of this question