Totsaken sold half of his comic books and bought ten more. He now has 40. With how many did he begin?
2 answers:
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Answer: option 3 is the correct answer
Step-by-step explanation:
Let us look at the various trigonometric ratios
Sin Ф = opposite side/ hypotenuse
Cos Ф = adjacent side / hypotenuse
Tan Ф = opposite side / adjacent side
Therefore, tan Ф = sin Ф / cos Ф
This means that if cos Ф=-8/17 and sin Ф is negative, then the hypotenuse is negative
To determine the adjacent side, we will apply Pythagoras theorem
Hypotenuse ^2 = opposite ^2 + adjacent ^2
-17^2 = 8^2 + adjacent^2
adjacent^2 = 289 - 64 = 225
adjacent = √225 = 15
tan Ф = 8/15
Answer:
To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.
Begin with the right hand side:
R.H.S = cot θ =
L.H.S = sin θ cos θ
so, sin θ cos θ ≠
So, the equation is not a trigonometric identity.
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<u>Anther solution:</u>
To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.
Assume θ with a value and substitute with it.
Let θ = 45°
So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2
R.H.S = cot θ = cot 45 = 1
So, L.H.S ≠ R.H.S
So, sin θ cos θ = cot θ is not a trigonometric identity.