if tan theta =root 3-1 then prove sin theta.costheta =root 2 upon 3
Answers
Answered by
0
Given : tanθ = √3 -1
To Find : sinθ.cosθ= √2/3
Solution:
sinθ.cosθ
∵ sinθ = cosθ tanθ
= cosθ tanθ . cosθ
= cos²θ tanθ
= tanθ / sec²θ
= tanθ /(1 + tan²θ )
tanθ = √3 - 1
tan²θ = 3 + 1 - 2√3 = 4 - 2√3
= (√3 -1 ) / ( 1 + 4- 2√3 )
= (√3 -1 ) /( 5 - 2√3)
= 0.476627
√2 / 3= 0.47140
Hence Both are not equal
some mistake in the data
Learn More
Prove that sinα + sinβ + sinγ − sin(α + β+ γ) = 4sin(α+β/2)sin(β+γ
brainly.in/question/10480120
Ifsin 990° sin 780° sin 390°+=K(tan 405° – tan 360°) then Kicos 540 ...
brainly.in/question/22239477
Maximum value of sin(cos(tanx)) is(1) sint (2)
brainly.in/question/11761816
evaluate cot[90-theta].sin[90-theta] / sin theta+cot 40/tan 50 - [cos ...
brainly.in/question/2769339
Similar questions