Tan 4 3. Prove that the semivertical angle of the right circular cone 4(x2 + y2)−9z2 = 0 is tan−1 3/2 Rewrite the equation 4 (x^2+y^2)9z^2= (2x)^2+ (2y)^2 (3z)^2=0 The zaxis increases 3 times faster for any given z solution The x and yaxis increases twice as much for any given xy.
Solution Consider the diagram below tan A = ` (4)/ (3)` ie `”perpendicular”/”base” = (4)/ (3) ⇒ “BC”/”AB” = (4)/ (3)` Therefore if length of AB = 3x length of BC = 4x Since AB 2 + BC 2 = AC 2 [ Using Pythagoras Theorem ] ( 3x ) 2 + (4x) 2 = AC 2 AC 2 = 9x 2 + 16x 2 = 25x 2 AC = 5x ( hypotenuse ) Now.
Tan Calculator Tangent
Solve for ? tan (theta)=3/4 tan (θ) = − 3 4 tan ( θ) = 3 4 Take the inverse tangent of both sides of the equation to extract θ θ from inside the tangent θ = arctan(−3 4) θ = arctan ( 3 4) Evaluate arctan(− 3 4) arctan ( 3 4) θ = −06435011 θ = 06435011 The tangent function is negative in the second and fourth quadrants.
4tan(3x)=4 solution
If 4tanθ=3 then evaluate (4sinθ+cosθ)(4sinθ−cosθ) Easy Solution Verified by Toppr Given 4Tanθ=3⇒Tanθ= 43 sinθ= 53 cosθ= 54 4sinθ+cosθ4sinθ−cosθ = 4( 53 )+ 54 4( 53 )− 54 = 516 58 = 21 Was this answer helpful? 0 0 Show that sinθ−cosθsinθ+cosθ + sinθ+cosθsinθ−cosθ =−2sec2θ Medium View solution > sin(40 0+θ)cos(10 0+θ)−cos(40 0+θ)sin(10 0+θ)= ?.
Solve for ? tan(theta)=4/3 Mathway
If α = tan^1(tan 5π/4) and β = tan^1(tan 2π/3) then A 4α = 3β B 3α = 4β C α β = 7π/12 D none of these asked Apr 2 2021 in Trigonometry by Takshii (350k points) inverse trigonometric functions class12 0 votes 1 answer The number of solutions of the equation tan^1 2x + tan^1 3x = π/4 is A 2 B 5 C 1 D none of these asked Apr 2 2021 in Trigonometry.
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Misc 8 Find the value of sin ????/2 cos ????/2 and tan ????/2 in each of the following tan???? = – 4/3 ???? in quadrant II Given that x is in quadrant II So 90° < x < 180° Dividing by 2 all sides (90°)/2 < ????/2 < (180°)/2 45° < ????/2 < 90° So ????/2 lies in Ist quadrant In 1st quadra.