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Problem Questions with Answer, Solution - Exercise 4.1: Sine Function and Inverse Sine Function | 12th Mathematics : UNIT 4 : Inverse Trigonometric Functions

Chapter: 12th Mathematics : UNIT 4 : Inverse Trigonometric Functions

Exercise 4.1: Sine Function and Inverse Sine Function

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EXERCISE 4.1

 

1. Find all the values of such that

(i) -10π ≤ x ≤ 10π and sin x = 0 

(ii) -8π ≤ x ≤ 8π and sin x = -1.




2. Find the period and amplitude of

(i) y = sin7x

(ii) y = -sin ( 1/3 x )

(iii) y = 4 sin(-2x) .



3. Sketch the graph of = sin ([1/3] x) for 0 ≤ < 6π .




4.Find the value of 




5. For what value of does sin = sin?



6. Find the domain of the following





7. Find the value of sin1 



Answers:


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12th Mathematics : UNIT 4 : Inverse Trigonometric Functions : Exercise 4.1: Sine Function and Inverse Sine Function | Problem Questions with Answer, Solution

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12th Mathematics : UNIT 4 : Inverse Trigonometric Functions


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