Trigonometry identities using Formula- Test Questions

Question 21

Question:   Prove the following identity:

Answer:   



tanq secq - cotq cosecq
RHS

Question 22

Question:   Prove the following identity:

Answer:   

Question 23

Question:   Prove the following identity:

Answer:   

Question 24

Question:   Prove the following identity:

Answer:   

Question 25

Question:   Prove the following identity:

Answer:   

Question 26

Question:   Prove the following identity:

Answer:   

Question 27

Question:  

Answer:    If tan A + sin A = m .... (1)
tan A - sin A = n .... (2)
Adding (1) and (2)

Subtracting (2) from (1)

Question 28

Question:  

Answer:   

Question 29

Question:   If x sin³q + y cos³q = sin q cos q and x sin q - y cos q = 0.Prove that x² + y² = 1.

Answer:    x sin³q + y cos³q = sin q cos q .... (i)
x sin q - y cos q = 0 .... (ii)

from (i) and (iii)



y = sinq .... (iv)
From (iii) and (iv), x = cos q
\ x² + y² = sin²q + cos²q

Question 30

Question:   If (1-sin A) (1-sin B) (1-sin C)=(1+sin A)(1+sin B) (1+sin C) then, prove that the value of

Answer:    Let each expression be t then