TRIGONOMETRIC IDENTITY AND GRAPHS OF INVERSE OF TRIGONOMETRIC RATIOS PYTHAGORAS THEOREM

Evaluation

Sketch the graph of:

(i) y = sin2x                                                                 (ii) y = cos x

(iii) y = sec x                                                                (iv) cosec x

all at intervals of 30◦ range 0≤ x ≤ 360.

 

General Evaluation

(1) Draw the graph of y = 2cosx – 1 in the range 0◦ ≤ x ≤ 360◦ at intervals of 30◦.

(2) Draw the graph of y = 3sin x – 1 in the range of 0◦ ≤ x ≤ 360◦ at intervals of 30◦

(3) Prove that sec2ѳ + cosec2ѳ = (tanѳ + cotѳ) 2.

 

Weekend Assignment

Given that 4cos x + 3sin x = 5, find the value of

(1) Sin x

(2) Cos x

(3) Tan ѳ

(4) Cot ѳ

(5) Sin x + cos x

 

Theory

(1) Draw the graph of inverse trig function for sin x –

(2) Find the inverse of the following and their domains

(a) y = sin x                             (b) y = cos x                            (c) y = tan x

(d) y = cosec x             (e) y = sec x                            (e) y = cot x

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