If 1-Sin2A/Cos2A =tan theta what is the value of theta
Answers
Given : (1 - sin2a)/cos2a = tanθ
To Find : Value of θ
Solution:
(1 - sin2a)/cos2a = tanθ
1 = sin²a + cos²a
cos2a = cos²a - sin²a
sin2a = 2sinacosa
=> ( sin²a + cos²a - 2sinacosa)/( cos²a - sin²a) = tanθ
=> ( ±(cosa - sina))²/(cos + sina)(cosa - sina) = tanθ
=> ( ±(cosa - sina)) /(cos + sina) = tanθ
Dividing numerator & denominator by cosa in LHS
=> ± ( 1 - tana)/(1 + tana) = tanθ
1 = tan(π/4)
=> ±( tan(π/4) - tana)/(1 + tan(π/4).tana) = tanθ
=> ±tan((π/4) - a) = tanθ
=> θ = (π/4) - a , a - (π/4)
Learn More:
find value of [sin(-660)tan(1050)sec(-420)] / [cos (225) cosec(315 ...
brainly.in/question/2332226
Without using the trigonometric tables, evaluate11 sin 70° 4 cos 53 ...
brainly.in/question/10071638
tan 11 pi/3 - 2 sin 4 pi/6 - 3/4 cosec × cosec pi/4 + 4 cos × cos 17pi/6 ...
brainly.in/question/10587805
Answer:
1-sin2A/cos2A gets cut
therefore tan theta=1
therefore, tan theta=45
value f tan=45
Step-by-step explanation: