Trigonometry – Page 106

for-what-value-of-x-0-lt-x-lt-2-4cosec-2-x-9-cotx-

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Question Number 98191 by behi83417@gmail.com last updated on 12/Jun/20 $for what value of : {x ∣ 0 < x < 2 π} :$ $4 {cosec}^{2} x - 9 = cotx$ Answered by MJS last updated on 12/Jun/20 $$\mathrm{4cosec}^{\mathrm{2}} \:{x}\:−\mathrm{9}=\mathrm{cot}\:{x} \…

Question-98149

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Question Number 98149 by me2love2math last updated on 11/Jun/20 Commented by me2love2math last updated on 11/Jun/20 $Q 1 a n d 2 p l s$ Answered by mr W last updated…

Question-32538

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Question Number 32538 by GAUTHAM last updated on 27/Mar/18 Commented by prof Abdo imad last updated on 28/Mar/18 $w e h a v e {s i n}^{2} (\frac{π}{12}) = \frac{1 - c o s (\frac{π}{6})}{2} = \frac{1 - \frac{\sqrt{3}}{2}}{2}$ $= \frac{2 - \sqrt{3}}{4} \Rightarrow s i n (\frac{π}{12}) = \frac{\sqrt{2 - \sqrt{3}}}{2} \Rightarrow$ $${arcsin}\left(\:\:\frac{\sqrt{\mathrm{2}−\sqrt{\mathrm{3}}}}{\mathrm{2}}\right)\:=\:\frac{\pi}{\mathrm{12}}\:. \…

find-all-the-values-of-in-the-interval-0-2pi-for-which-sin-3-sin-3cos-2-

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Question Number 97994 by hardylanes last updated on 10/Jun/20 $f i n d a l l t h e v a l u e s o f θ, i n t h e i n t e r v a l 0 ⩽ θ ⩽ 2 π$ $f o r w h i c h \sin 3 θ - \sin θ = \sqrt{3 \cos 2 θ}$ Answered by Rio Michael last updated on 10/Jun/20 $i pressume your question is$ $$\:\mathrm{sin}\:\mathrm{3}\theta\:−\:\mathrm{sin}\:\theta\:=\:\sqrt{\mathrm{3}}\:\mathrm{cos}\:\mathrm{2}\theta\:\mathrm{for}\:\mathrm{0}\:\leqslant\:\theta\:\leqslant\:\mathrm{2}\pi…

If-the-corrdinater-of-the-verticle-of-an-eqvilateral-triangle-with-length-x-are-x-1-y-1-y-1-y-2-and-x-3-y-3-then-determinant-x-1-y-1-2-x-2-y-2-2-x-3-y-3-2-

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Question Number 32163 by jarjum last updated on 20/Mar/18 $I f t h e c o r r d i n a t e r o f t h e v e r t i c l e o f a n$ $e q v i l a t e r a l t r i a n g l e w i t h l e n g t h x a r e$ $(x_{1 +} y_{1}), (y_{1} + y_{2}) a n d (x_{3}, y_{3}) t h e n$ $$\left(\begin{vmatrix}{{x}_{\mathrm{1}} \:\:\:{y}_{\mathrm{1}} \:\:\:\mathrm{2}}\{{x}_{\mathrm{2}} \:\:\:{y}_{\mathrm{2}}…

Determine-wether-the-relation-on-the-set-R-of-all-real-number-as-R-a-b-a-b-R-and-a-b-3-s-where-s-is-the-set-of-all-irrational-no-is-reflexive-symmetric-and-transitive-

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Question Number 32164 by jarjum last updated on 20/Mar/18 $D e t e r m i n e w e t h e r t h e r e l a t i o n o n t h e$ $s e t R o f a l l r e a l n u m b e r a s$ $R = {(a, b) : a, b \in R a n d a - b + \sqrt{3} \in s$ $w h e r e s i s t h e s e t o f a l l i r r a t i o n a l n o)$ $i s r e f l e x i v e, s y m m e t r i c a n d t r a n s i t i v e ?$ Terms of Service Privacy Policy…

Let-a-function-F-R-R-be-defined-by-f-x-1-ax-0-for-all-X-R-Show-that-f-is-invertible-and-find-its-inverse-function-Also-find-the-value-s-of-if-inverse-of-f-is-itself-

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Question Number 32161 by jarjum last updated on 20/Mar/18 $L e t a f u n c t i o n F : R \to R b e d e f i n e d b y$ $f (x) = 1 + a x, α \neq 0 f o r a l l X \in R . S h o w$ $t h a t f i s i n v e r t i b l e a n d f i n d i t s i n v e r s e$ $f u n c t i o n . A l s o f i n d t h e v a l u e (s) o f α$ $i f i n v e r s e o f f i s i t s e l f$ Answered by mrW2 last updated…

evaluate-cos-2x-sin-x-dx-

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Question Number 32156 by jarjum last updated on 20/Mar/18 $e v a l u a t e \int \frac{\sqrt{c o s 2 x}}{s i n x} d x$ Commented by abdo imad last updated on 20/Mar/18 $I = \int \sqrt{\frac{c o s (2 x)}{{s i n}^{2} x}} d x = \int \sqrt{\frac{c o s (2 x)}{\frac{1 - c o s (2 x)}{2}}} d x$ $$=\int\:\:\sqrt{\:\:\:\frac{\mathrm{2}{cos}\left(\mathrm{2}{x}\right)}{\mathrm{1}−{cos}\left(\mathrm{2}{x}\right)}}\:{dx}\:\:{ch}.\:{tanx}={t}\:{give} \…

Question-97680

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Question Number 97680 by bemath last updated on 09/Jun/20 Commented by bobhans last updated on 09/Jun/20 $\cos 6 A - \cos 2 A = - 2 \sin 4 Asin 2 A$ $\Leftrightarrow - 2 \sin 4 Asin 2 A - 2 \cos 4 A + 2 =$ $\Leftrightarrow - 4 \sin^{2} 2 A \cos 2 A - 2 (1 - 2 \sin^{2} 2 A) + 2$ $$\Leftrightarrow−\mathrm{4sin}\:^{\mathrm{2}}…

Question-97546

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Question Number 97546 by bobhans last updated on 08/Jun/20 Commented by bobhans last updated on 08/Jun/20 can anyone translate to english? Commented by bemath last updated on 08/Jun/20 $$\mathrm{i}\:\mathrm{don}'\mathrm{t}\:\mathrm{understand}\:…

Category: Trigonometry