1.

If cosec theta is equal to 5 by 3 then what is the value of cos theta + 10 theta

Answer»

Theta us written as A,

Given, cosecA = 5 / 3



We KNOW, cosec∅ = hypotenuse / height

HENCE, 5 / 3 = hypotenuse / height



So, let hypotenuse = ( 5x ) and height be ( 3X )


By Pythagoras theorem, base will be ( 4x )



Hence,
COSA = base / hypotenuse

cosA = 4x / 5x

cosA = 4 / 5



tanA = height / base

tanA = 3x / 4x

tanA = 3 / 4





Then, cosA + tanA


=> 4 / 5 + 3 / 4

=> ( 16 + 15 ) /20

=> 31 / 20





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