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3 years ago

If cos Θ =-4/7 , what are the values of sin Θ and tan Θ?

1 answer:

8 0

given cos theta is equal to - 4/ 7 then we can conclude that theta is in the second and third quadrants. In this case, the other leg is equal to square root of (7^2 - 4^2 ) equal to square root of 33. In this case, sin theta can be equal to +- square root of 33 / 7 and tan theta is equal to +-square root of 33 / 4.

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Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

$\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

you scored 72% on the Unit 1 exam and then 90% on the unit 2 exam. what was your percentage acorr increase

iVinArrow [24]

The difference between 90% and 72% is 18%

6 0

3 years ago

The diameter of a circle is 12 inches. What is the circle's circumference? Use 3.14 for .

frozen [14]

The formula to find circumference is 2(3.14)r
For this problem, first you take half of the diameter to get radius. Then, putting this into the formula, you get 2(3.14)(6) = 37.699

5 0

3 years ago

If a small boy, in 30 days, saved $1.00 to spend in your store, how much did he save each day?

ivolga24 [154]

Answer:

3 cents for 29 days and 4 cents for 1 day

Step-by-step explanation:

1.00 dollar / 30 days = .03 cents

3 cents x 30 = .99 cents

3 cents for 29 days and 4 cents for 1 day

6 0

4 years ago