Trigonometry – Page 207

prove-Cos-2pi-7-Cos-4pi-7-Cos-8pi-7-1-2-

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Question Number 67464 by lalitchand last updated on 27/Aug/19 $prove Cos (\frac{2 π}{7}) + Cos (\frac{4 π}{7}) + Cos (\frac{8 π}{7}) = - \frac{1}{2}$ Answered by mind is power last updated on 27/Aug/19 $Z^{7} - 1 = 0$ $$\Rightarrow\left({z}−\mathrm{1}\right)\left(\mathrm{1}+{z}+{z}^{\mathrm{2}}…

Solve-for-x-tan-x-tan-2x-tan-3x-0-Some-one-had-posted-this-question-and-I-had-answered-it-but-then-thread-was-deleted-I-think-that-the-question-is-not-importanceless-so-I-hav-reposted-it-

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Question Number 1890 by Rasheed Soomro last updated on 21/Oct/15 $S o l v e f o r x$ $t a n x + t a n 2 x - t a n 3 x = 0$ $S o m e o n e h a d p o s t e d t h i s q u e s t i o n a n d I h a d a n s w e r e d i t$ $b u t t h e n t h r e a d w a s d e l e t e d!$ $I t h i n k t h a t t h e q u e s t i o n i s n o t i m p o r t a n c e l e s s, s o I h a v$ $r e p o s t e d i t .$ Commented by…

Solve-2sin-2x-3-sin-x-cos-x-2-0-

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Question Number 1870 by alib last updated on 18/Oct/15 $S o l v e$ $2 s i n 2 x - 3 (s i n x + c o s x) + 2 = 0$ Answered by 112358 last updated on 19/Oct/15 $$\mathrm{2}{sin}\mathrm{2}{x}−\mathrm{3}\left({sinx}+{cosx}\right)+\mathrm{2}=\mathrm{0} \…

Question-67396

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Question Number 67396 by Cmr 237 last updated on 26/Aug/19 Commented by mathmax by abdo last updated on 26/Aug/19 $l e t P (z) = z^{2 n} + 1 l e t d e t e r m i n e t h e r o o t s o f P (z)$ $${P}\left({z}\right)=\mathrm{0}\:\Leftrightarrow\:{z}^{\mathrm{2}{n}} \:=−\mathrm{1}\:\:\Leftrightarrow\:\:{z}^{\mathrm{2}{n}} ={e}^{{i}\left(\mathrm{2}{k}+\mathrm{1}\right)\pi}…

Show-that-given-4cos-pi-3-2-3-sin-pi-3-5-then-pi-3cos-1-5-28-3tan-1-3-2-

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Question Number 1830 by 112358 last updated on 10/Oct/15 $S h o w t h a t g i v e n$ $4 c o s \frac{π}{3} + 2 \sqrt{3} s i n \frac{π}{3} = 5$ $t h e n$ $π = 3 {c o s}^{- 1} (\frac{5}{\sqrt{28}}) + 3 {t a n}^{- 1} (\frac{\sqrt{3}}{2}) .$ Answered by Rasheed Soomro last…

Find-the-period-of-f-x-where-f-x-cos-2x-pi-3-sin-3x-2-pi-4-How-may-one-find-the-period-of-the-following-functions-if-x-has-period-m-and-x-has-period-n-1-f-1-x-x-x-2-f-2-x

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Question Number 1812 by 112358 last updated on 04/Oct/15 $F i n d t h e p e r i o d o f f (x) w h e r e$ $f (x) = c o s (2 x + \frac{π}{3}) + s i n (\frac{3 x}{2} - \frac{π}{4}) .$ $H o w m a y o n e f i n d t h e p e r i o d$ $o f t h e f o l l o w i n g f u n c t i o n s$ $i f ψ (x) h a s p e r i o d m a n d γ (x)$ $h a s p e r i o d n ?$ $(1) f_{1} (x) = ψ (x) γ (x)$ $$\left(\mathrm{2}\right)\:{f}_{\mathrm{2}}…

Prove-sin-a-sin-a-14pi-3-sin-a-8pi-3-0-

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Question Number 1808 by alib last updated on 04/Oct/15 $P r o v e \sin (a) + \sin (a + \frac{14 π}{3}) + \sin (a - \frac{8 π}{3}) = 0 /$ Answered by 112358 last updated on 05/Oct/15 $U s i n g t h e c o m p o u n d a n g l e f o r m u l a$ $${sin}\left({x}\pm{y}\right)={sinxcosy}\pm{cosxsiny}\:{we}\:{get} \…

3sinx-5cosx-5-then-prove-that-5sinx-3cox-3-

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Question Number 67345 by Aditya789 last updated on 26/Aug/19 $3 s i n x + 5 c o s x = 5 t h e n p r o v e t h a t$ $5 s i n x - 3 c o x = + 3$ Answered by $@ t y @ m 123 l a s t u p d a t e d o n 26 / A u g / 19$ $\frac{3}{5} \sin x + \cos x = 1$ $$$\frac{\mathrm{1}−\mathrm{cos}\:{x}}{\mathrm{sin}\:{x}}=\frac{\mathrm{3}}{\mathrm{5}} \…

tan-a-cot-a-tan-3a-cot-3a-8cos-2-2a-sin-6a-

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Question Number 1809 by alib last updated on 04/Oct/15 $\tan a + \cot a + \tan 3 a + \cot 3 a = \frac{8 \cos^{2} 2 a}{\sin 6 a}$ Commented by alib last updated on 04/Oct/15 $p r o v e$ …

A-certain-person-s-blood-preassure-is-modelled-by-the-function-p-t-115-25-sin-160pit-where-p-t-is-the-pressure-in-mmHg-at-time-t-measured-in-minutes-a-Find-the-number-of-heartbeats-per-minute-b

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Question Number 132866 by bramlexs22 last updated on 17/Feb/21 $A certain {person}^{'} s blood preassure$ $is modelled by the function$ $p (t) = 115 + 25 \sin (160 π t)$ $where p (t) is the pressure in mmHg$ $at time t measured in minutes .$ $(a) Find the number of heartbeats per minute$ $(b) Find the blood preassure$ $$\mathrm{reading}.\:\mathrm{How}\:\mathrm{does}\:\mathrm{this}\:\mathrm{compare}\: \…

Category: Trigonometry