12. Is the following true or false: (1) If sin x = sin y , then x = y (2) If cos x = cos y , then x = y (3) If tan x = tan y , then x = y (4) If cosec x = cosec y , then x = y (5) If sec x = sec y , then x = y (6) If cot x = cot y , then x = y

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sin x + cos x + tan x + cot x + sec x + c o s e c x = 7

sin 2 x = a - b \sqrt{7}

If x is acute, then $\sqrt{\frac{1 + s i n x}{1 - s i n x}}$

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I = \int {sec}^{2} x {c o s e c}^{4} x d x = A {cot}^{3} x + B tan x + C cot x + D

\begin{matrix} F u n c t i o n s & D e r i v a t i v e s (a) sin x & 1) - sin x (b) cos x & 2) {sec}^{2} x (c) tan x & 3) cos x (d) sec x & 4) - c o s e c^{2} x (e) cot x & 5) sec x tan x (f) c o s e c x & 6) - c o s e c x c o t x \end{matrix}

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