Trigonometry - Test Questions-i


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Question 1

Question:  

Answer:   



Solve the equations sec q + tan q = x ....(1)






Question 2

Question:   If 3 sinq + 5 cosq = 5, show that 5 sinq - 3 cosq = 3.

Answer:   





Question 3

Question:  

Answer:   



Or


Question 4

Question:  

Answer:   
In the figure




Question 5

Question:  

Answer:   
In the figure



Question 6

Question:   Eliminate q between the equation x = a sec q and y = b tan q.

Answer:   

Squaring and subtracting (2) from (1)


Question 7

Question:   Eliminate q between the equation

Answer:   







Squaring and adding,




Question 8

Question:   If a sec q - x tan q = y, b sec q + y tan q = x, eliminate q.

Answer:   

Squaring and adding,





Question 9

Question:   Eliminate q between x = sin q + cos q, y = tan q + cot q.

Answer:   





Question 10

Question:   Find sin q if



Answer:   
(i) In I quadrant sin q is positive

(ii) In IV quadrant sin q is negative.

(iii) In III quadrant sin q is negative.



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