# Finding the Angles of Triangle and Solving Algebraic Expressions (Math Problem Sample)

MATH ASSIGNMENT WITH SOLUTIONS AND EXPLANATIONS.

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Task 8

In the triangle, cm and cm. Given that the area of the triangle is

cm2, find the possible values of the angle.

Solution:

Using the Area

Substitute the given values and simplify.

3654 = 54sinB54 Divide both sides by 54.

Therefore, sin B = 23

Angle B = 41.80 or 138.20 Final Answer

Find the exact value of, giving your answer in the form

.

Solution:

Substitute the value of tan 300, sin 1350 and cos 2100

= 13 6 (12)+4 (-32) Simplify.

= 13 62+-432

= 13 62-23 Use distributive property.

= 66-233

= 66-2

= -2 + (66)(66) Rationalizing the denominator.

= -2 + 6636 Simplify

= -2 + 666

= -2+6 Final Answer

Show that for a small angle , measured in radians, .

Solution:

Using the small angle approximations and ,

Prove that.

Solution:

Left-hand side

, using identities and

, cancel out

Simplify (36 + 4 . 27 ÷ 4 – 18) ÷ 5.

Solution:

(36 + 4 . 27 ÷ 4 – 18) ÷ 5 = (36 + 108 ÷ 4 – 18) ÷ 5 Use the MDAS rule.

= (36 + 27 – 18) ÷ 5 Simplify.

= (63 – 18) ÷ 5

= (45) ÷ 5

= 9 Final Answer

Proper aerobic exercise involves exercising at a person’s correct training heart rate. To

find the correct training heart rate the following formulas are used.

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