What is the value of secx when sinx = -0.40 and tanx > 0?

  • Thread starter Thread starter Xtremeownage
  • Start date Start date
  • Tags Tags
    Trigonometry
AI Thread Summary
When sinx = -0.40 and tanx > 0, secx can be determined using the relationship between sine, cosine, and secant. The discussion indicates that the angle corresponding to sin(x) = -0.40 is in the fourth quadrant, while the second angle is in the third quadrant. To find secx, the cosine value must be calculated, as secx is the reciprocal of cosine. The correct value of secx, rounded to the nearest hundredth, is determined to be 1.09. This conclusion is reached by considering the properties of trigonometric functions in different quadrants.
Xtremeownage
Messages
9
Reaction score
0
If sinx = -0.40 and tanx > 0, then secx, to the nearest hundreth, is

A) 0.92

B) -0.92

C) -1.09

D) 1.09

So I figured that sin^-1 = -23.57817848, but I don't know how to get sec, can someone help!
 
Last edited:
Physics news on Phys.org
I would assume it is in the 3rd quadrant as well
 
There are 2 angles for x that correspond to sin(x) = -0.40
the one you found is in the 4th quadrant, there is one in the 3rd quadrant as well
 
Thanks, Ill try solving it now
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Similar threads

Solving sqrt of ((1-sinx)/(1+sinx)) = |secx-tanx|
Replies
5
Views
2K
Integration problem ∫1/(√3 sinx+ cosx) dx
Replies
8
Views
2K
What is the primitive of sinx/cos^2x?
Replies
3
Views
1K
Determining hole size using laser interference
Replies
6
Views
1K
Please, check my work on Trig Identities
Replies
5
Views
5K
Two different answers for the same integral?
Replies
2
Views
1K
Proving Reciprocal Identities: (secx+1)/(sin2x) = (tanx)/2cosx-2cos2x
Replies
10
Views
2K
Wondering if these two First Linear Order IVPs are correct
Replies
2
Views
2K
Integrals that keep me up at night
Replies
22
Views
3K
Calculus Problem Help Integral of (secx)^3 dx
Replies
2
Views
14K

Hot Threads

Recent Insights

Back
Top