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Chapter 3 Trigonometric Functions Ex 3.3 Solutions

Question - 1 : - Prove that:

Answer - 1 : -


Question - 2 : - Prove that: 

Answer - 2 : -


Here

= 1/2 + 4/4

= 1/2 + 1

= 3/2

= RHS

Question - 3 : - Prove that: 

Answer - 3 : -


Question - 4 : - Prove that: 

Answer - 4 : -


Question - 5 : -
Find the value of:
(i) sin 75o
(ii) tan 15o

Answer - 5 : -



(ii) tan 15°

It can be written as

= tan (45° – 30°)

Using formula

Question - 6 : - Prove that:

Answer - 6 : -


Question - 7 : - Prove that:

Answer - 7 : -


Question - 8 : - Prove that:

Answer - 8 : -


Question - 9 : - Prove that:

Answer - 9 : -

Consider

It can be written as

= sin x cos x (tan x + cot x)

So we get

Question - 10 : - Prove that: sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x = cos x

Answer - 10 : - LHS = sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x

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