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:
around 30
Step-by-step explanation: dont quote me though
Answer:
The exact value of tan(M) is 5/12 ⇒ answer (C)
Step-by-step explanation:
* Lets revise the trigonometry functions
- In ΔABC
# m∠B = 90°
# Length of AB = a , length of BC = b and length of AC = c
# The trigonometry functions of angle C are
- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse
- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse
- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C
* Now lets solve the problem
- In ΔONM
∵ m∠N = 90°
∵ MN = 12
∵ ON = 5
∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)
∴ tan(M) = 5/12
* The exact value of tan(M) is 5/12
Answer:
Step-by-step explanation:
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