Mathematics: Determine the quadrant where θ lies given that sinθ 0 and tanθ 0. i ii iii iv

52488 because 9 times 9 is 81, 81 times 9 equals 729, 729 times 9 equals 6561. 6561 x 8 = 52488...

Determine the quadrant where θ lies given that

Ответ:

rainbowboi

14.03.2022

Mathematics

Option c. is correct.

Step-by-step explanation:

if $sin\theta$ < 0 means values of $sin\theta$ will be negative.

For $tan\theta =\frac{sin\theta }{cos\theta }$ > 0 means positive value of $tan\theta$

values of $sin\theta$ and $cos\theta$ both should be either > 0 or < 0 for the poitive values of $tan\theta$ . If any one, sine or cosine is negative then $tan\theta$ will be < 0

We know that for the condition $tan\theta 0$ and $sin\theta$ < 0 value of $cos\theta$ should be negative.

Therefore, $\theta$ should lie in 3rd quadrant where $sin\theta$ and $cos\theta$ both are negative.

Option C. 3rd option is correct.

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Determine the quadrant where θ lies given that sinθ < 0 and tanθ > 0. i ii iii iv

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