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further pure 1

2.​(a)​Write down the t-formula for sin x.
(1)
(b)​Using the answer to part (a),
​(i)​find the exact value of sin x when

​(ii)​show that
cos x =
(4)
(c)​Use the t-formulae to solve for 0 < 𝜃 360°
7sin 𝜃 + 9cos 𝜃 + 3 = 0
giving your answers to one decimal place.
(4)
anyone got any idea how to do part bii i have tried using cos^2x=1-sin^2x but not getting anywhere
I’ll attach a picture of the question
Reply 1
D8C92867-16D2-4A32-A90C-EC9D2DC6F61A.jpeg
Original post by emilyhh
2.(a)Write down the t-formula for sin x.
(1)
(b)Using the answer to part (a),
(i)find the exact value of sin x when

(ii)show that
cos x =
(4)
(c)Use the t-formulae to solve for 0 < 𝜃 360°
7sin 𝜃 + 9cos 𝜃 + 3 = 0
giving your answers to one decimal place.
(4)
anyone got any idea how to do part bii i have tried using cos^2x=1-sin^2x but not getting anywhere
I’ll attach a picture of the question

Your method for b(ii) should work. Feel free to post your working if stuck. Alternatively, since you've completed part (a) you can draw a right angled triangle with the known lengths of the opposite and hypotenuse in terms of t, and work out the adjacent side using Pythagoras.
Reply 3
Original post by emilyhh
2.(a)Write down the t-formula for sin x.
(1)
(b)Using the answer to part (a),
(i)find the exact value of sin x when

(ii)show that
cos x =
(4)
(c)Use the t-formulae to solve for 0 < 𝜃 360°
7sin 𝜃 + 9cos 𝜃 + 3 = 0
giving your answers to one decimal place.
(4)
anyone got any idea how to do part bii i have tried using cos^2x=1-sin^2x but not getting anywhere
I’ll attach a picture of the question


Original post by old_engineer
Your method for b(ii) should work. Feel free to post your working if stuck. Alternatively, since you've completed part (a) you can draw a right angled triangle with the known lengths of the opposite and hypotenuse in terms of t, and work out the adjacent side using Pythagoras.

Thank you very much just solved it I miss factorised and that is why it wasn’t working

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