If tana 5/12 then sin a + cos a .sec a

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Web1 jun. 2024 · If tan A = 2, then evaluate sec A . sin A + tan^2A – cosec A. asked Jun 1, 2024 in Trigonometric Ratios of Acute Angles by HarshKumar ( 32.7k points) … Web29 mrt. 2024 · Example 12Express the ratios cos A, tan A and sec A in terms of sin A.cos ASince, cos2 A + sin2 A = 1 cos2 A = 1 – sin2 A cos A = ±√(1 −𝑠𝑖𝑛2 𝐴)Here, A is acute ... Example 12 - Chapter 8 Class 10 Introduction to Trignometry (Term 1) Last updated at March 29, 2024 by Teachoo.

If tan A = 2, then evaluate sec A . sin A + tan^2A – cosec A.

Web21 okt. 2024 · Class 10 Maths MCQs Chapter 8 Introduction to Trigonometry. 1. The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is. 2. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to. 3. If x and y are complementary angles, then. 5. If A, B and C are interior angles of a ΔABC then is equal to. Web29 mrt. 2024 · Example 12 Express the ratios cos A, tan A and sec A in terms of sin A. cos A Since, cos2 A + sin2 A = 1 cos2 A = 1 – sin2 A cos A = ±√(1 −𝑠𝑖𝑛2 𝐴) Here, A is acute (i.e. … enumerate local users on domain

If sinA=(3/5) and A is in first quadrant, then the values of sin2A ...

Web1 jun. 2024 · Prove that √(sec^2A + cosec^2A) = tanA + cotA. asked Jun 1, 2024 in Trigonometric Ratios of Acute Angles by HarshKumar ( 32.7k points) trigonometric ratios … Websec ( A) = cosec ( B) Solution The correct option is D sec ( A) = cosec ( B) Given, A and B are complementary angles. ⇒ m ∠ A + m ∠ B = 90 ∘ ⇒ A = 90 - B ... ( i) We know that , sin θ = cos 90 - θ Taking reciprocal on both sides we get, ⇒ 1 sin θ = 1 cos 90 - θ ⇒ cos e c θ = s e c 90 - θ Now, replace θ by B ⇒ cos e c B = s e c 90 - B Websec A - tan A = 5, or (1/cos A) - (sin A/cos A) = 5, or 1-sin A = 5 cos A, or 1-sin A = 5 (1-sin^2 A)^0.5, or Square both sides (1-sin A)^2 = 25 (1-sin^2 A) 1 - 2 sin A + sin^2 A = 25 - 25 sin^2 A, or 26sin^2 A - 2 sin A - 24 = 0, or 13 sin^2 A - sin A - 12 = 0. sin A (1) = [+1+ (1+625)^0.5]/26 = [+1+25]/26 = 26/26 = 1 Hence A (1) = 90 deg enumerate meaning in telugu

Example 12 - Express cos A, tan A and sec A in terms of sin A

If tana 5/12 then sin a + cos a .sec a

$Solve cosA=5/12 Microsoft Math Solver$

WebCorrect option is A) cosA= 1312 ---- ( 1 ) We know, sin 2A+cos 2A=1 ⇒ sin 2A+(1312)2=1 [ From ( 1 ) ] ⇒ sin 2A+ 169144=1 ⇒ sin 2A=1− 169144 ⇒ sin 2A= 169169−144 ⇒ sin … WebIf sin (a) +cos (a) =1/2, what is sin (a) * cos (a) equal to? Sin A + cos A = 1/2 Square on both sides. Sin^2 A + Cos^2 A + 2SinAcosA = 1/4 As (x+y)^2 = x^2+y^2+2xy. 1 + 2 sin A cos A = 1/4. As Sin^2 X + cos^2 X = 1. 2 sin A cos A = -3/4 Sin A Cos A = …

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Web18 apr. 2016 · Cot 2 A = (Cosec 2 A – 1) Calculation: 9cosA+12sinA=15 Divide 3 on both the sides, 3cos A + 12 sin A = 5 Divide SinA on both the sides, 3cosA/sinA + 4sinA/sinA = 5/sinA ⇒ 3cotA + 4 = 5 cosec A Squaring on both the sides (3cotA + 4) 2 = (5cosecA) 2 ⇒ 9cot 2 A + 16 + 24cotA = 25cosec 2 A ⇒ 9cot 2 A + 16 + 24cotA = 25 (cot 2 A + 1) Web2 dec. 2015 · Explanation: Use the trig identity: tan2A = 2tanA 1 − tan2A (1). First, find tanA = sinA cosA. sinA = 3 5 --> sin2A = 9 25 --> cos2A = 1 − 9 25 = 15 25 - --> cosA = ± 4 5. Because A is in Quadrant II, its cos is negative. cosA = − 4 5 tanA = sinA cosA = (3 5)( − 5 4) = − 3 4 Replace value of tan A = -3/4 into identity (1) -->

WebProve that if tanA= 43, then sinAcosA= 2512 Medium Solution Verified by Toppr As sec 2A−tan 2A=1⇒secA=± tan 2A+1 =± 169 +1=± 1625=± 45 ⇒cosA= secA1 =± 54 And sin 2A+cos 2A=1 ⇒sinA=± 1−cos 2A=± 1− 2516 =± 259 =± 53 ⇒sinAcosA= 2512 Was this answer helpful? 0 0 Similar questions TanA=CotB, prove that A+B=90 ∘ Hard View … WebThen u know sin and cos . ... Plot (or basically think of) this on a coordinate diagram. you may see that base of ... technique of Pythagoras rule. hence cosA = -12/13 and tanA = …

WebYou can put this solution on YOUR website! if tanA= 5/12, find sin(2a)-----If tan(A) = 5/12, y = 5 when x = 12--Then r = sqrt[5^2+12^2] = sqrt[169] = 13----So, sin(A) = y/r = 5/13 WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.

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Websec A - tan A = 5, or (1/cos A) - (sin A/cos A) = 5, or 1-sin A = 5 cos A, or 1-sin A = 5(1-sin^2 A)^0.5, or Square both sides (1-sin A)^2 = 25(1-sin^2 A) 1 - 2 sin A + sin^2 A = … enumerate meaning in nepaliWebIf tan A = 5/12, find the value of (sin A + cos A) sec A. ← Prev Question Next Question →. 0 votes. 105k views. asked Sep 7, 2024 in Mathematics by Mubarak (32.9k points) If tan … enumerate meaning in tagalogWebFor the first problem, use $\sec A = \frac{1}{\cos A}$, and $\csc A = \frac{1}{\sin A}$, then put them over a common denominator. Then convert $\tan$ and $\cot$ to $\sin$ and $\cos$ as you have done and put them over the same common denominator. Cancel these denominators and use $\sin^2 A + \cos^2 A = 1$ and you're done. dr horton everly