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patriot [66]
2 years ago
9

Use right triangle DCB to find the trig values for angle D. sinD = cosD = tanD =

Mathematics
2 answers:
Sever21 [200]2 years ago
4 0
Sin D=35/37
cos D=12/37
tan D= 35/12
Use SOHCAHTOA
Natali5045456 [20]2 years ago
4 0

Answer:

sin(D)=\frac{35}{37}

cos(D)=\frac{12}{37}

tan(D)=\frac{35}{12}

Step-by-step explanation:

<u>Part a)</u> Find sin(D)

we know that

In a right triangle the value of sine of  an angle is equal to the opposite side to the angle  divided by the hypotenuse

sin(D)=\frac{CB}{DB}

substitute the values

sin(D)=\frac{35}{37}

<u>Part b)</u> Find cos(D)

we know that

In a right triangle the value of cosine of  an angle is equal to the adjacent side to the angle  divided by the hypotenuse

cos(D)=\frac{DC}{DB}

substitute the values

cos(D)=\frac{12}{37}

<u>Part c)</u> Find tan(D)

we know that

In a right triangle the value of tangent of  an angle is equal to the opposite side to the angle  divided by the adjacent side to the angle

tan(D)=\frac{CB}{DC}

substitute the values

tan(D)=\frac{35}{12}

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