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Trigonometry > Trigonometry in Right Angles
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Trigonometry in Right Angles

Main formulas:

Master formula for right triangles: SOHCAHTOA!

sinθ = opposite side

hypotenuse
    cosθ = adjacent side

hypotenuse
    tanθ = opposite side

adjacent side

Example 1:

A right triangle has short sides of length 3 and 4. Find all the angles in the triangle.

Example 2:

A right triangle has one angle measuring 40°  and opposite side of length 6. Find the lengths of all the sides.

Example 3:

The lengths of the two short sides of a right triangle are in a 5:2 ratio. Find all angles of the triangle.

Example 4:

A right triangle has short sides of length 3 and hypotenuse of length 7. Find all the angles in the triangle.

Example 5:

A right triangle has one angle of 65°  and hypotenuse of length 3. Find the lengths of all the sides of the triangle.
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