Here you will learn some inverse trignometric function examples for better understanding of inverse trigonometric function concepts. Example 1 : Find the value of sin−1(−√32) + cos−1(cos(7π6)). Solution : sin−1(−√32) = – sin−1(√32) = −π3 cos−1(cos(7π6)) = cos−1(cos(2π–5π6)) = cos−1(cos(5π6)) = 5π6 Hence \(sin^{-1}({-\sqrt{3}\over […]
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Here, you will learn formulas for inverse trigonometric functions, equation and inequations involving inverse trigonometric function. Let’s begin – Simplified Inverse Trigonometric Functions (a) y = f(x) = sin−1(2x1+x2) = \(\begin{cases} 2tan^{-1}x, & \text{if}\ |x| \le 1 \\ \pi – 2tan^{-1}x, & \text{if}\ x > 1 \\ -(\pi + 2tan^{-1}x), & \text{if}\ x <
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Here, you will learn all the properties of inverse trigonometric functions class 12 with examples. Let’s begin – Properties of Inverse Trigonometric functions Property – 1 (i) y = sin−1(sinx), x ∈ R, y ∈ (-π2, π2) periodic with period 2πand it is an odd function. (ii) y = cos−1(cosx), x ∈ R,
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Here, you will learn domain and range of inverse trigonometric function class 12. Let’s begin – Inverse Trigonometric Function The inverse trigonometric functions, denoted by sin−1x or (arc sinx), cos−1x etc., denote the angles whose sine, cosine etc, is equal to x. The angles are usually smallest angles, except in case of cot−1x and if
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