32 Value In Trigonometry

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32 value in trigonometry. ∴ sin x = \\sqrt 3\ / 2 tan x = sin x/cos x = √3/2/1/2 \\frac{√3/2}{½}\ = √3/2 × 2/1\\frac{√3/2}{2/1}\ tan x = \sqrt{3}\ Cosec = 1/sin x = \\frac{1}{\sqrt 3 / 2}\ Cosec = \\frac{2}{\sqrt 3}\ Sec x = 1/cosec x = 1/1/2 \\frac{1}{1/2}\ = \\frac{2}{1}\ Sec x = 2 Cot x = 1/tan x Cot x = \\frac{1}{\sqrt 3}\ Question 2. Using trigonometry formula, the value of cos 390° can be given in terms of other trigonometric functions as ± √(1sin²(390°)). For finding the value of tan 30, we divide sin 30 by cos 30 and get the required value, ie, (½)/ (√3/2) = 1/√3, the other corresponding values are Angle in Degrees 0.

Cos 390 degrees is the value of cosine trigonometric function for an angle equal to 390 degrees The value of cos 390° is √3/2 or 0866 (approx) How to Find Cos 390° in Terms of Other Trigonometric Functions?. Since cosine function is positive in the 1st quadrant, thus cos 750 degrees value = √3/2 or Similarly, cos 750° can also be written as, cos 750 degrees = (750° n × 360°), n ∈ Z ⇒ cos 750° = cos 1110° = cos 1470°, and so on Note Since, cosine is an even function, the value of cos (750°) = cos (750°). Sin 60°= √3/ 2 Cos 30°= √3/2 Sin 30°= 1/2 Cos 60°= 1/2 So, Sin 60° Cos 30° Sin 30° Cos 60° = √3/ 2 √3/2 1/21/2 4/4 = 1 Ques If Sec 4A=Cosec(A – °), where 2A is an acute angle, find the value of A (2 Marks) Ans Sec 4A=Cosec ( 0° ) Cosec ( 90 4A) = Cosec (A °) 90 – 4A = A – 110 = 5A A = 22°.

Using the trigonometric table, we know that sin45º = 1/√2, cos30º = (√3/2), cos45º = 1/√2, and sin30º = 1/2 sin15º = sin(45º 30º) = sin45ºcos30º cos45ºsin30º = (√2/2) • (√3/2) (√2/2) • (1/2) = (√6 √2)/4 = (√3 1)/2√2. Trigonometric Equation Calculator \square!. Divide the equation by 2 Hence you get √3/2 cos theta 1/2 sin theta = (1/√2) That is sin 60 Cos theta cos 60 Sin theta =(1/√2) Sin (60 theta) = 1/√2 Sin 135 = 1/√2 = sin 45 Hence theta =.

In the first quadrant we get only we get positive values for all trigonometric ratiosSo we have to choose one of the angles from 0 to π/2 that is negative angle Now we have to think about the angle of sin for which we get the value √3/2 sin (π/3) = √3/2 Hence the principal value of θ is. Best answer Given cos θ = −√3 2 − 3 2 Since, θ is in IIIrd Quadrant So, sin and cos will be negative but tan will be positive We know that, cos2 θ sin2 θ = 1 Putting the values, we get Since, θ in IIIrd quadrant and sinθ is negative in IIIrd quadrant ∴ sin θ = − 1 2 − 1 2. Trigonometry Examples Problem Find the value of sin(9045)° Solution sin(9045)° = cos 45° = 1/√2 Problem If tan θ = 4 and sin θ = 6 Then find the value of cos θ Solution We know, cos θ = sin θ/ tan θ Therefore, cos θ = 6/4 = 3/2 Keep learning Maths with us and download BYJU’S The learning App, for interactive videos.

So, the value of sin 480 ° is √3/2 Problem 2 Find the value of sin (1110 °) Solution. Ques Evaluate Sin 60° Cos 30° Sin 30° Cos 60° (2 Marks) Ans We know that Sin 60°= √3/ 2 Cos 30°= √3/2 Sin 30°= 1/2 Cos 60°= 1/2 So, Sin 60° Cos 30° Sin 30° Cos 60° = √3/ 2 √3/2 1/21/2 4/4 = 1 Read More. Given function sin θ = √3/2 Let us first draw a right ∆ABC, ∠B = 90 degrees and ∠A = θ (where k is a positive) We know that sin θ = BC/AC = (Perpendicular)/Hypotenuse = √3/2 By Pythagoras Theorem AC 2 = AB 2 BC 2 Or AB 2 = AC 2 – BC 2 = 4k 2 – 3k 2 = k 2 AB = k Find other Trations using their definitions Cos θ = AB/AC = 1/2.

√3/2 1 01 0 cos 1 √3/2 1/√2 1/2 01 0 1 tan 0 1/√3 1 √3 ∞ 0 ∞ 0 cot ∞ √3 1 1/√3 0 ∞ 0 ∞ cosec ∞ 2 √2 2/√3 1 ∞1 ∞ sec 1 2/√3 √2 2 ∞1 ∞ 1. Cos 30° 4 √sin 60° 2 tan 60° can be written in the form √𝑘 where 𝑘 is an integer Work out the size of angle y Work out the area of the triangle The parallelogram has an area of 3 cm2 Find the value of x 9 cm 4√ cm 4√3 cm 2√3−2 cm 3−√3 6√3 cm wwwmathsboxorguk. #DearMathematicianprove that sin15°=(√31)/2√2 Trigonometrymathsin(A − B) = sin A cos B − cos A sin Bsin(AB) =sin A cos B cos A sin Bsin(AB) sin(A.

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