MHB Trigonometry and Triangle Questions

[kingsala]

Gents, Thanks for all the guidance in the past with my work and brothers too.

Can anyone help with these , see file attached

 

[SuperSonic4]

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:

Spoiler

$$\dfrac{\sin A}{A} = \dfrac{\sin B}{B} = \dfrac{\sin C}{C}$$

Q5) Do you know how to find the area of a triangle from trig?

Spoiler

$$A = \frac{1}{2}ab\sin(C)$$

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