Solved Examples on Trigonometry Formulas Class 10
Example 1: If sin A = 3/4. Calculate cos A and tan A
Solution:
cos2A = 1 – sin2A
⇒ cos2A = 1-(9/16)
⇒ cos2A = 7/16
⇒ cosA = √7/4
⇒ tanA = sinA/cosA
⇒ tanA = 3/√7
Example 2: Given 15 cot A = 8. Find sin A and sec A
Solution:
cotA = 8/15
⇒ cosec2A = 1 + cot2A
⇒ cosec2A = 1 + (64/225)
⇒ cosec2A = 289/225
⇒ cosecA = 17/15
⇒ sinA = 15/17
⇒ secA = cosecA/cotA
⇒ secA = 17/8
Example 3: Find the value of sin 45° – cos 45°.
Solution:
sin 45° = cos 45° = 1/√(2)
⇒ sin 45° – cos 45° = 0
Example 4: If tan θ + cot θ = 7. Find tan2θ + cot2θ
Solution:
tan θ + cot θ = 7
⇒ (tanθ + cotθ)2 = 49
⇒ tan2θ + cot2θ + 2tanθcotθ = 49
⇒ tan2θ + cot2θ + 2 = 49
⇒ tan2θ + cot2θ = 47
Example 5: The value of tan θ = 3/4. Find the value of sec θ.
Solution:
1 + tan2θ = sec2θ
⇒ 1 +(3/4)2 = sec2θ
⇒ sec2θ = 25/16
⇒ secθ = 5/4
Example 6: If sec θ + tan θ = 5. Find sec θ – tan θ.
Solution:
sec 2θ – tan 2θ = 1
⇒ (sec θ + tan θ)(sec θ – tan θ) = 1
⇒ 5(sec θ – tan θ) = 1
⇒ sec θ – tan θ = 1/5
Trigonometry Formulas Class 10
Trigonometry Formula in Class 10 is the list of all formulas used in Trigonometry useful for class 10 students in their exams. Trigonometry is the branch of mathematics that establishes the relation of the angle of a right triangle with the ratio of sides.
Trigono means triangle and metron means measure. There are in total six trigonometric ratios namely, sine, cosine, tangent, cotangent, secant, and cosecant. The Trigonometric Formulas establish relations between these Trigonometric Ratios.
In this article, we will learn Trigonometric Formulas essential for Class 10 along with the Trigonometric Ratio Table.
Table of Content
- What is Trigonometry Ratio?
- Trigonometric Ratio Formulas Class 10
- All Trigonometry Formulas Class 10
- Trigonometric Reciprocal Identities
- Trigonometric Identities
- Complementary Angle Formulas
- Supplementary Angle Formulas
- Even and Odd Angle Formulas
- Double Angle Formulas
- Solved Examples on Trigonometry Formulas Class 10
- Practice Questions on Trigonometric Formulas Class 10