Math, asked by Urwa5, 1 year ago

Find the value of sin30 + cos60/
1 - tan30 tan 45

Answers

Answered by hriteshkumarde
1
(3+√3)/2 is the answer of the following question

Urwa5: Can u plz explain.
hriteshkumarde: sin 30=1/2, cos 60=1/2, tan 30=1/√3, tan 45= 1. Just put the values and calculate the answer
hriteshkumarde: follow me please
hriteshkumarde: at last rationalise the answer
Urwa5: Rationalize by wht?
hriteshkumarde: the denominator
Urwa5: Thnxxxxx
Answered by sai0112
1

Answer:√3 / √3 -1 or (3 + √3) / 2

Step-by-step explanation:

sin 30 = 1/2

cos 60 = 1/2

tan 30 = 1/√3

tan 45 = 1

sin30 + cos60 = 1/2 + 1/2 = 1

tan 30 * tan 45 = 1/√3 * 1 = 1/√3

1 - 1/√3 = √3 - 1 / √3


sin30 + cos60/

1 - tan30 tan 45 =

=> 1 / (√3 - 1 / √3)

=>√3 / √3 -1


on rationalizing you get

√3 / √3 - 1 *√3 + 1 / √3 + 1

=> √3(√3 + 1) / 3-1

=> √3² + √3 / 2

=> (3 + √3) / 2


Urwa5: But idk tht with we should rationalize
Urwa5: Your amswer is right till this point. But next wht?
sai0112: the denominator you have to rationalize
sai0112: so that you get the denominator in the form of a^2 - b^2
sai0112: now you know with what you have to rationalize
sai0112: root3 + 1 / root3 + 1
sai0112: when you multiply this you are actually rationalizing it
sai0112: can you mark as brainliest please anyways
Urwa5: Your answer is correct and thnx alsotttt
sai0112: welcome
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