Math, asked by zac15, 1 year ago

(please help) how to find tan 40° easily without calculator​

Answers

Answered by fireblade0095
1

Answer:

tan(40) = 0.84(approx)

Step-by-step explanation:

Yes, You can find the value of tan 40 without using calculator.

You can use Maclaurin Series, to find the value.

tan(x) = x+(1/3)3+(2/15)x5+(17/315)x7+....

Here, x should be in radians.

Given:

Degree = 40 = 0.698 = 0.7 apprx (1 Degree = 0.0174533 Radians)

tan(40) = 0.7 +(1/3)(0.7)3+(2/15)(0.7)5+(17/315)(0.7)7+....

= 0.7 + 0.1143 + 0.0224 + 0.004

tan(40) = 0.84 approx

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