Question
Asked Nov 4, 2019
9 views

Find the exact value of the expression using the provided information.

Find tan(s - t) given that sin s = - (3\sqrt(13))/(13), with s in quadrant IV, and sin t=(\sqrt(10))/(10) with t in quadrant IV

check_circle

Expert Answer

Step 1

Given:

/13
and sint
13
ло
sin s
-3
10
V10
Since t in IV quadrant so consider sin
10
help_outline

Image Transcriptionclose

/13 and sint 13 ло sin s -3 10 V10 Since t in IV quadrant so consider sin 10

fullscreen
Step 2

Find the value of tans as follows.

3/13 opposite side
sin s
hypotenuse
13
By Pythagorean theorem c2 = a b
Her a is opposite side, b adjacent side and c is hypotenuse.
Thus
13 =(-313)-b
b 2 13
That is,
2/13
cosS
13
3v13
3
13
tan s=
2/13
2
13
help_outline

Image Transcriptionclose

3/13 opposite side sin s hypotenuse 13 By Pythagorean theorem c2 = a b Her a is opposite side, b adjacent side and c is hypotenuse. Thus 13 =(-313)-b b 2 13 That is, 2/13 cosS 13 3v13 3 13 tan s= 2/13 2 13

fullscreen
Step 3

Find the value of tant ...

Similarly,
102 10b
b 310
That is
3/10
cost
10
V10
1
10
tant
310
3
10
help_outline

Image Transcriptionclose

Similarly, 102 10b b 310 That is 3/10 cost 10 V10 1 10 tant 310 3 10

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Trigonometry

Other