Â EXERCISE 3.4(Trigonometric function)

Find the principal and general solutions of the following equations(Ex 3.4 Trigonomety ncert maths solution class 11)

Question 1:

Solution: Given,

Since ‘‘ positive in Ist and IIIrd quadrant

Then,

Hence the principal solution are

Given,

Hence the general solution is

Question 2:

Solution: Given,

Since ‘‘ positive in Ist and IVth quadrant

Then,

Since,

Then,

General solution:

Question 3:

Solution: Given,

Since, is negative in IInd and IVth quadrant

Then,

Given,

General solution:

Question 4:

Solution: Given,

is negative in IIIrd and IVth quadrant

Then,

Again, given that

Then general solution:

Find the general solution for each of the following equations:

Question 5:

Solution: Given

General solution:

Using formula:

Hence,

Taking ‘+’ve sign

Taking ‘-‘ve sign

Question 6:

Solution: Given,

Takaing

Taking,

Question 7:

Solution: Given,

Question 8:

Solution: Given,

Question 9:

Solution: Given,

Ex 3.3 Trigonomety ncert maths solution class 11