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CBSE Class 10 Answered

derife geomatricaly the value of tan 45,sin60,cos 90
Asked by amolshukal.2001 | 23 Jan, 2018, 03:14: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style In space right minus angled space triangle space ABC comma space let space angle straight A equals 45 degree
Now comma space angle straight A plus angle straight B plus angle straight C equals 180 degree
rightwards double arrow 45 degree plus 90 degree plus angle straight C equals 180 degree
rightwards double arrow angle straight C equals 45 degree
rightwards double arrow AB equals BC
Let space AB equals BC equals straight x
Then comma space by space Pythagoras space theorem comma
AC squared equals AB squared plus BC squared equals straight x squared plus straight x squared equals 2 straight x squared
rightwards double arrow AC equals square root of 2 straight x
Now comma space angle straight A equals 45 degree
rightwards double arrow space tan space 45 degree equals Perpendicular over Base equals BC over AB equals straight x over straight x equals 1
Similarly comma space you space can space try space for space sin space 60 degree space and space cos degree. end style
Answered by Rashmi Khot | 24 Jan, 2018, 09:51: AM

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