Trigonometry and Triangle Questions

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 2K views · last reply
kingsala
Messages
8
Reaction score
0
Gents, Thanks for all the guidance in the past with my work and brothers too.

Can anyone help with these , see file attached
 
Attachments
Mathematics news on Phys.org
Edit: I have attached the PDF pages as images for those who don't wish to download a PDF attachment :)What do you know about trigonometry?

Q1) You can solve this one by using the definition of sine: $$\sin \theta = \frac{opp}{hyp}$$ (the SOH of SOHCAHTOA if you were taught this mnenomic)

Q2) This is both a right angled and isoceles triangle. Since the sum of angles is 180 degrees and one is 90 you can find the other two (they're the same remember)

Q3) This can be solved using one of the trig ratio

Q4) Use the sine law:
$$\dfrac{\sin A}{A} = \dfrac{\sin B}{B} = \dfrac{\sin C}{C}$$

Q5) Do you know how to find the area of a triangle from trig?
$$A = \frac{1}{2}ab\sin(C)$$

Q6) The usual formula for decay is [math]A = A_0(1-r)^t[/math]. Not sure why it's here as not trig related
 
Attachments
  • Two trigonometry questions on a quiz page: a right triangle with sides 8 and 6 and hypotenuse 10 asking for sin θ, and a right isosceles-style triangle with angle 10 marked, asking for its angle value.
    55-0.png
    6.1 KB · Views: 132
  • Two trigonometry exercises: a right triangle with a right-angle mark, a side labelled x, a side labelled 6 and a 50 degree angle; and a triangle with sides 5 and 6 and an angle marked theta next to a 60 degree angle.
    55-1.png
    9.3 KB · Views: 134
  • Screenshot of exercise questions: a triangle with sides 6 m and 5 m meeting at a 35 degree angle, asking for its area; a sector of a circle with radius 2 m; and a multiple-choice question on mass decay.
    55-2.png
    10.1 KB · Views: 138