OPPOSITE
ACTIVE
HYPOTENUSE
TAP
ANGLE θ (DEG)
AUTO
RESULT
AUTO
TRIGONOMETRY (SOHCAHTOA)
Choose sine, cosine or tangent to find a right triangle angle or side
Useful for GCSE maths, SOHCAHTOA revision and right triangle trig checks
WORKING
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PAGE SUMMARY
Use this page to solve right triangle trigonometry questions with SOHCAHTOA.
Pick sine, cosine or tangent, then choose whether you want to find an angle or a side.
The calculator shows the rule, substitution and result clearly on the right.
Useful for GCSE maths, trig revision, right triangle angle finding and side checks.
Extra formula help, worked examples and related links are on the next pages.
Page 1 stays focused on the calculator so the keypad and controls remain visible on laptops and phones.
SOHCAHTOA
sinθ = opp / hyp
cosθ = adj / hyp
tanθ = opp / adj
FIND ANGLE
θ = sin⁻¹(opp/hyp)
θ = cos⁻¹(adj/hyp)
θ = tan⁻¹(opp/adj)
FIND SIDE
opp = hyp · sinθ
adj = hyp · cosθ
opp = adj · tanθ
VALID INPUTS
Sides must be positive and angles must stay between 0° and 90° for these right triangle problems.
For sine and cosine angle finding, the first side must not be bigger than the hypotenuse.
PAGE 2/4
ANGLE EXAMPLE
Given opposite = 3 and hypotenuse = 5
sinθ = 3/5 = 0.6
θ = sin⁻¹(0.6)
θ ≈ 36.87°
COS EXAMPLE
Given adjacent = 4 and hypotenuse = 5
cosθ = 4/5 = 0.8
θ = cos⁻¹(0.8)
θ ≈ 36.87°
SIDE EXAMPLE
Given θ = 30° and hypotenuse = 10
opp = 10 · sin30°
opp = 10 · 0.5
opp = 5
TAN EXAMPLE
Given θ = 45° and adjacent = 7
opp = 7 · tan45°
opp = 7 · 1
opp = 7
PAGE 3/4
GCSE TRIG HELP
This page helps with SOHCAHTOA questions for right triangles.
It fits searches for trigonometry calculator, SOHCAHTOA calculator, right triangle trig calculator and find angle with sine cosine tangent.
COMMON SEARCH TOPICS
sohcahtoa calculator
trigonometry calculator
find angle using sine
find side using cosine or tangent
RELATED PAGES
LOOP BACK
Use NEXT to return to Page 1 and solve another trig question straight away.
That keeps the calculator page clear while still giving stronger help and SEO coverage.
PAGE 4/4
OPPOSITE
ACTIVE
HYPOTENUSE
TAP
ANGLE θ (DEG)
AUTO
RESULT
AUTO
WORKING
—
—
—
—
—
—
—
PAGE 1/4
SOHCAHTOA
sinθ = opp / hyp
cosθ = adj / hyp
tanθ = opp / adj
FIND ANGLE
θ = sin⁻¹(opp/hyp)
θ = cos⁻¹(adj/hyp)
θ = tan⁻¹(opp/adj)
FIND SIDE
opp = hyp · sinθ
adj = hyp · cosθ
opp = adj · tanθ
VALID INPUTS
Sides must be positive, and right triangle angles stay between 0° and 90°.
For sine and cosine angle finding, the first side cannot be larger than the hypotenuse.
PAGE 2/4
ANGLE EXAMPLE
Given opposite = 3 and hypotenuse = 5
sinθ = 3/5 = 0.6
θ = sin⁻¹(0.6)
θ ≈ 36.87°
COS EXAMPLE
Given adjacent = 4 and hypotenuse = 5
cosθ = 4/5 = 0.8
θ = cos⁻¹(0.8)
θ ≈ 36.87°
SIDE EXAMPLE
Given θ = 30° and hypotenuse = 10
opp = 10 · sin30°
opp = 10 · 0.5
opp = 5
TAN EXAMPLE
Given θ = 45° and adjacent = 7
opp = 7 · tan45°
opp = 7 · 1
opp = 7
PAGE 3/4
GCSE TRIG HELP
This page helps with right triangle trigonometry questions using SOHCAHTOA.
It suits searches for trigonometry calculator, SOHCAHTOA calculator and right triangle angle finder.
COMMON SEARCH TOPICS
sohcahtoa calculator
trigonometry calculator
find angle using sine
find side using cosine or tangent
RELATED PAGES
LOOP BACK
Use NEXT to return to Page 1 and solve another trig question.
PAGE 4/4