+0

# trigonometry question

+2
117
2
+-9

Question: theta is an acute angle of a right triangle. Find the values of the 2 other trig ratios of theta.

cos θ = 8

After doing the work to find out what the other leg is using the Pythagorean theorum, I got a2= -63, making the missing leg an imaginary number. Am I doing something wrong? Thanks in advance.

Update: It does say that cosine=8 even though cosines can not be more than 1.

IneedHealing  Apr 25, 2017
edited by IneedHealing  Apr 27, 2017
Sort:

#1
+4152
+3

Does the problem really say that cos θ = 8 ?

The cosine of any real angle has to be between -1 and 1 (inclusively)

... I don't know what it means if the cosine really is bigger than 1 !

hectictar  Apr 25, 2017
#2
+25975
+3

If we assume this is meant to be cos θ = 0.8, then sin θ = sqrt(1-0.8^2) → 0.6 and tan θ = 0.6/0.8 → 0.75

.

Alan  Apr 25, 2017

### 15 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details