Question

cominon-assessment-delivery/start/5575677072?action=onresurne submissionid=745722332 MCSD ©A* Trig Ratios Practice 4 POSSI Use a Desmos calculator to find the angle measure for each of the following. Round to the nearest degree. 1. sin A=0.4848 ZA 2. sin B = 0.5150 ZB= 3. cos Z = 0.7431 ZZ = 4. cos W = 0.6157 ZW 5. cos U = 0.5878 ZU 6. tan W = 19.081 ZIV 7. cos V = 0.4226 V 8. tan X = 0.5317 ZX=

Answer 1

1)

$\sin A=0.4848$

Multiplying both sides by inverse of sine, we get

$\sin ^{-1}\sin A=\sin ^{-1}0.4848$

$\angle A=\sin ^{-1}0.4848$

Using desmans calculator we, get

$\angle A=28.99936979$

Rounding the nearest degree means we need to round off the final answer to the next degree.

$\angle A=29^o$

2)

$\sin B=0.5150$

Multiplying both sides by inverse of sine, we get

$\sin ^{-1}\sin B=\sin ^{-1}0.5150$

$\angle B=\sin ^{-1}0.5150$

$\angle B=30.99745499$

Rounding off,

$\angle B=40^o$

3)

$\cos Z=0.7431$

Multiplying both sides by inverse of cosine, we get

$\cos ^{-1}\cos Z=\cos ^{-1}0.7431$

$\angle Z=\cos ^{-1}0.7431$

$\angle Z=42.00383814$

$\angle Z=42^o$

4)

$\cos W=0.6157$

Multiplying both sides by inverse of cosine, we get

$\cos ^{-1}\cos W=\cos ^{-1}0.6157$

$\angle W=\cos ^{-1}0.6157$

$\angle W=51.99719884$

$\angle W=52^o$

5)

$\cos U=0.5878$

Multiplying both sides by inverse of cosine, we get

$\cos ^{-1}\cos U=\cos ^{-1}0.5878$

$\angle U=\cos ^{-1}0.5878$

$\angle U=53.99895554$

$\angle U=54^o$

6)

$\tan W=19.081$

Multiplying both sides by inverse of a tangent, we get

$\tan ^{-1}\tan W=\tan ^{-1}19.081$

$\angle W=\tan ^{-1}19.081$

$\angle W=86.99997855$

$\angle W=87^o$

7)

$cosV=0.4226$

Multiplying both sides by inverse of cosine, we get

$\cos ^{-1}cosV=\cos ^{-1}0.4226$

$\angle V=\cos ^{-1}0.4226$

$\angle V=65.00115448$

$\angle V=65^o$

8)

$tanX=0.5317$

Multiplying both sides by inverse of a tangent, we get

$\tan ^{-1}tanX=\tan ^{-1}0.5317$

$\angle X=\tan ^{-1}0.5317$

$\angle X=27.99957871$

$\angle X=28^o$