24.08.2021

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The sine of the complimentary angle to 75°

. 4

Faq

Mathematics
Step-by-step answer
P Answered by PhD

B) 0.85

Step-by-step explanation:

By definition, complementary angles add to 90 degrees.

The given angle 58 degrees is complementary to 90-58 = 32 degrees. The two angles 58 and 32 add to 90.

Therefore, cos(32) = 0.848 = 0.85

Mathematics
Step-by-step answer
P Answered by Specialist

Option d -0.62

Step-by-step explanation:

To find : The cosine of the complimentary angle to 38°?

Solution :

The cosine of the complimentary angle to \theta

\sin\theta=\cos(90-\theta)

We have given the angle \theta=38^\circ

\sin(38^\circ)=\cos(90-38)^\circ

\sin(38^\circ)=\cos(52)^\circ

\sin(38^\circ)=0.615    

\sin(38^\circ)=0.62

Therefore, Option d is correct.          

Mathematics
Step-by-step answer
P Answered by PhD

B) 0.85

Step-by-step explanation:

By definition, complementary angles add to 90 degrees.

The given angle 58 degrees is complementary to 90-58 = 32 degrees. The two angles 58 and 32 add to 90.

Therefore, cos(32) = 0.848 = 0.85

Mathematics
Step-by-step answer
P Answered by Specialist
The complementary angle of 60° is 30°

cos(30°) = (√3)/2 ==> cos30°=0.86 (or b.)
Mathematics
Step-by-step answer
P Answered by Master

Option d -0.62

Step-by-step explanation:

To find : The cosine of the complimentary angle to 38°?

Solution :

The cosine of the complimentary angle to \theta

\sin\theta=\cos(90-\theta)

We have given the angle \theta=38^\circ

\sin(38^\circ)=\cos(90-38)^\circ

\sin(38^\circ)=\cos(52)^\circ

\sin(38^\circ)=0.615    

\sin(38^\circ)=0.62

Therefore, Option d is correct.          

Mathematics
Step-by-step answer
P Answered by PhD

The cosine of the complementary angle to 38° is 0.62. d

Explanation:

Complementary Angle

Two angles x and y are complementary if

x+y=90°

The complementary angle of 38° is 90°-38°= 52°

Now use a calculator to find the approximate value of

\cos 52^\circ \approx 0.61566

Rounding to two decimal places:

\cos 52^\circ \approx 0.62

a. Incorrect. The cosine of 52° is not 0.68

b. Incorrect. The cosine of 52° is not -0.16

c. Incorrect. The cosine of 52° is not -0.22

d. Correct. The cosine of 52° is 0.62 to two decimal places.

Mathematics
Step-by-step answer
P Answered by Master
The complementary angle of 60° is 30°

cos(30°) = (√3)/2 ==> cos30°=0.86 (or b.)
Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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