Introduction for trigonometry calculator online:
In trigonometry we learn about triangle angles and sides. In online trigonometry, triangles are classified based on its angles and number of sides. In trigonometry, we use sin, cos, tan and its inverse functions. In trigonometry calculator, we find the unknown side value and unknown angles of the right triangles. Pythagoras theorem is mainly used in trigonometry online calculator for finding the side length and angles.
Example Problems - Trigonometry Calculator Online
Trigonometry calculator online problem 1:
Find the value of sin?, cos?, tan? from the given triangle.
Solution:
From the right triangle PQR,
The value of opposite side (PQ) = 10.
The value of hypotenuse (PR) = 17
The value of adjacent side (QR) = 25
Sin? = (opposite side / hypotenuse)
= (PQ / PR)
Sin? = (10 / 17)
Cos? = (adjacent side / hypotenuse)
= (QR / PR)
Cos? = (25 / 17)
Tan? = (opposite side / adjacent side)
= (PQ / QR)
Tan? = (10 / 25)
Answer:
The final answer is sin? = (10 / 17), cos? = (25 / 17), Tan? = (10 / 25)
Trigonometry calculator online problem 2:
Find the value of sin?, cos?, tan? from the given triangle.
Solution:
From the right triangle ABC,
The value of opposite side (BC) = 32
The value of hypotenuse (AC) = 40
The value of adjacent side (AB) = 24
Sin? = (opposite side / hypotenuse)
= (BC / AC)
Sin? = (32 / 40)
Cos? = (adjacent side / hypotenuse)
= (AB / AC)
Cos? = (24 / 40)
Tan? = (opposite side / adjacent side)
= (BC / AB)
Tan? = (32 / 24)
Answer:
The final answer is sin? = (32/ 40), cos? = (24 / 40), Tan? = (32 / 24)
Trigonometry calculator online problem 3:
Prove the given trigonometry identity:
Cos4x - sin4x = 1 - 2sin^2x
Solution:
Take left hand side of the equation, we get
Cos4x - sin4x = (cos^2x + sin^2x) (cos^2x - sin^2x)
Using the formula,
a4 - b4 = (a2 + b2) (a2 - b2)
Then simplify the above expression, we get
= 1 - [cos^2x - (1 - cos^2x)]
= 2cos^2x - 1
Rearrange the equation, we get
= 2 (1 - sin^2x) - 1
= 2 - 2sin^2x - 1
= 1 - 2sin^2x
Left hand side = Right hand side
Between, if you have problem on these topics factoring trinomials by grouping, please browse expert math related websites for more help on math tutor online free.
Practice Problems for Trigonometry Calculator Online
Trigonometry calculator online problem 1:
The sum of the two angles of the triangle is 100 degree. Find the third angle of the triangle.
Answer:
The third angle is 80 degree.
Trigonometry calculator online problem 2:
Find the third side of the right triangle. The other two sides are 12, 16.
Answer:
The third side of the right triangle is 20.
In trigonometry we learn about triangle angles and sides. In online trigonometry, triangles are classified based on its angles and number of sides. In trigonometry, we use sin, cos, tan and its inverse functions. In trigonometry calculator, we find the unknown side value and unknown angles of the right triangles. Pythagoras theorem is mainly used in trigonometry online calculator for finding the side length and angles.
Example Problems - Trigonometry Calculator Online
Trigonometry calculator online problem 1:
Find the value of sin?, cos?, tan? from the given triangle.
Solution:
From the right triangle PQR,
The value of opposite side (PQ) = 10.
The value of hypotenuse (PR) = 17
The value of adjacent side (QR) = 25
Sin? = (opposite side / hypotenuse)
= (PQ / PR)
Sin? = (10 / 17)
Cos? = (adjacent side / hypotenuse)
= (QR / PR)
Cos? = (25 / 17)
Tan? = (opposite side / adjacent side)
= (PQ / QR)
Tan? = (10 / 25)
Answer:
The final answer is sin? = (10 / 17), cos? = (25 / 17), Tan? = (10 / 25)
Trigonometry calculator online problem 2:
Find the value of sin?, cos?, tan? from the given triangle.
Solution:
From the right triangle ABC,
The value of opposite side (BC) = 32
The value of hypotenuse (AC) = 40
The value of adjacent side (AB) = 24
Sin? = (opposite side / hypotenuse)
= (BC / AC)
Sin? = (32 / 40)
Cos? = (adjacent side / hypotenuse)
= (AB / AC)
Cos? = (24 / 40)
Tan? = (opposite side / adjacent side)
= (BC / AB)
Tan? = (32 / 24)
Answer:
The final answer is sin? = (32/ 40), cos? = (24 / 40), Tan? = (32 / 24)
Trigonometry calculator online problem 3:
Prove the given trigonometry identity:
Cos4x - sin4x = 1 - 2sin^2x
Solution:
Take left hand side of the equation, we get
Cos4x - sin4x = (cos^2x + sin^2x) (cos^2x - sin^2x)
Using the formula,
a4 - b4 = (a2 + b2) (a2 - b2)
Then simplify the above expression, we get
= 1 - [cos^2x - (1 - cos^2x)]
= 2cos^2x - 1
Rearrange the equation, we get
= 2 (1 - sin^2x) - 1
= 2 - 2sin^2x - 1
= 1 - 2sin^2x
Left hand side = Right hand side
Between, if you have problem on these topics factoring trinomials by grouping, please browse expert math related websites for more help on math tutor online free.
Practice Problems for Trigonometry Calculator Online
Trigonometry calculator online problem 1:
The sum of the two angles of the triangle is 100 degree. Find the third angle of the triangle.
Answer:
The third angle is 80 degree.
Trigonometry calculator online problem 2:
Find the third side of the right triangle. The other two sides are 12, 16.
Answer:
The third side of the right triangle is 20.
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