Find the value of sin30 + cos60/
1 - tan30 tan 45
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(3+√3)/2 is the answer of the following question
Urwa5:
Can u plz explain.
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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
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