Question and Answers Forum

All Questions Topic List

TrigonometryQuestion and Answers: Page 6

Question Number 202614 Answers: 2 Comments: 3

find x

$find x$

Question Number 201899 Answers: 0 Comments: 0

Question Number 201854 Answers: 0 Comments: 3

Question Number 201427 Answers: 2 Comments: 0

{ ((sin(x+y)=cos(x−y))),((tanx−tany=1)) :} (x,y)=(?,?)

${\begin{cases} s i n (x + y) = c o s (x - y) \\ t a n x - t a n y = 1 \end{cases}$ $(x, y) = (?, ?)$

Question Number 201426 Answers: 1 Comments: 0

cosx−(√3)sinx=1 x=?

$c o s x - \sqrt{3} s i n x = 1$ $x = ?$

Question Number 201425 Answers: 1 Comments: 0

prove that ((1−cosA+cosB−cos(A+B))/(1+cosA−cosB−cos(A+B)))=tan(A/2)∙cot(B/2)

$p r o v e t h a t$ $\frac{1 - c o s A + c o s B - c o s (A + B)}{1 + c o s A - c o s B - c o s (A + B)} = t a n \frac{A}{2} \cdot c o t \frac{B}{2}$

Question Number 201263 Answers: 2 Comments: 0

Q: the equation , sin^( 2) (x)−sin(mx)cos^2 (x)=1 has four distinct roots in ( 0 , 2π ) find the values of , m . (m ∈ N )

$Q : t h e e q u a t i o n, {s i n}^{2} (x) - s i n (m x) c o s^{2} (x) = 1$ $h a s f o u r d i s t i n c t r o o t s$ $i n (0, 2 π) f i n d t h e v a l u e s$ $o f, m . (m \in N)$

Question Number 201166 Answers: 1 Comments: 0

Question Number 201134 Answers: 0 Comments: 0

S : Area of AB^Δ C in AB^Δ C : (a^( 2) /(4S)) =^? (1/2) (cot(B)+cot(C)) (a^( 2) /(4S)) = (( a^( 2) )/(4 ((1/2) bc sin(A))))=((4R^2 sin^( 2) (A))/(8R^( 2) sin(B)sin(C)sin(A))) = ((sin (A ))/(2sin(B)sin(C))) =^(A+B+C=π) ((sin(B)cos(C)+cosBsin(C))/(2sin(B)sin(C))) = (1/2) (cot(B)+cot(C)) ■

$S : A r e a o f A \overset{Δ}{B C}$ $i n A \overset{Δ}{B C} : \frac{a^{2}}{4 S} \overset{?}{=} \frac{1}{2} (c o t (B) + c o t (C))$ $\frac{a^{2}}{4 S} = \frac{a^{2}}{4 (\frac{1}{2} b c s i n (A))} = \frac{4 R^{2} {s i n}^{2} (A)}{8 R^{2} s i n (B) s i n (C) s i n (A)}$ $= \frac{s i n (A)}{2 s i n (B) s i n (C)}$ $\overset{A + B + C = π}{=} \frac{s i n (B) c o s (C) + c o s B s i n (C)}{2 s i n (B) s i n (C)}$ $= \frac{1}{2} (c o t (B) + c o t (C)) ◼$