can ypu please solvetan(2tan-1 1/5)tan-1(1) +cos-1(-1/2)
janani , 6 Years ago
Grade 12
Discuss with Askiitians Tutors> can ypu please solve tan(2tan -1 1/5) tan...
2 AnswersUtsav Basu
Last Activity: 6 Years ago
Ans 1:
Let θ = tan-1 1/5
Then the expression reduces to
tan 2θ
= 2tan θ/(1 – tan2θ)
= 2tan(tan-1 1/5)/(1 – (tan(tan-1 1/5))2)
= 5/12
Ans 2:
tan-1(1) +cos-1(-1/2)
= π/4 + 3π/4
= π
Rohit Sharma
Last Activity: 6 Years ago
1- Let y= tan-1(1/5)
Hence, tan y=1/5
so the question would be tan2y which can be expanded and the value of tany should be substtuted and the final answer would be 5/12
2- tan-1(1) + cos-1(1/2) = Pie/4 + 3pie/4 = Pie
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