tangerine=sin(gerine)/cos(gerine)

Geometry Level 2

Calculate

9 cot 2 6 0 + sec 2 4 5 4 sin 9 0 3 tan 2 3 0 + csc 2 4 5 tan 4 5 . \frac{ 9 \cot^2 60^\circ + \sec ^2 45 ^\circ - 4 \sin 90^\circ } { 3 \tan^2 30^\circ + \csc^2 45^\circ - \tan 45^\circ }.


The answer is 0.5.

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5 solutions

Through common trigonometric ratios, the numerator equates to 3 + 2 4 3+2-4 , and the denominator equates to 1 + 2 1 1+ 2-1 . Thus, the fraction obtained is 1 2 = 0.5 \frac{1}{2}= \boxed{0.5}

It's very easy

Bivas Dutta - 7 years ago

Lol I was writing it on a paper for calculating,and I mistakenly wrote “4tan45” instead of “tan45”so I got -1 as answer

Ho Yin Chan - 2 years, 4 months ago

Yah, friend did it the same way

Kushagra Sahni - 7 years, 1 month ago

By the way you didn't reply. I wrote simplify the altitude formula and then post a proof for both the formulas

Kushagra Sahni - 7 years, 1 month ago

By the way you didn't reply. I wrote simplify the altitude formula and then post a proof for both the formulas

Hanaa Ahmed - 7 years, 1 month ago

on solving it gave answer 2

Shahab Muzamil - 7 years, 1 month ago

same like this

Jamshed Saleem - 7 years, 1 month ago

Very easy !! :p

aryan mangal - 7 years ago

Sorry, but your answer is wrong because 3+2-4=1 is in numerator
and 1+ 0.5-1=0.5 in denominator so the actual fraction is equal to 2

Mohd Mobeen Mobeen - 7 years ago

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(csc(45))^2=(2/sqrt(2))^2=2 not 0.5.

Sal Gard - 5 years, 2 months ago

Yes, it is equal to 2. Not 0.5. @Mardokay Mosazghi

Akira Nhukate - 1 year ago

just use calculator

Mar Kevin Lagsac - 7 years, 1 month ago
Uahbid Dey
May 12, 2014

9cot²60 = 9x(1/tan60)² = 9x(1/√3)² =3 + sec²45 = (1/cos45)² = (√2)² =2 - 4sin90 = - 4x1 = - 4 => 9cot²60 + sec²45 - 4sin90 = 3+2-4 = 1 similarly, 3tan²30 + cosec²45 - tan45 = 3x(1/3)+2-1 = 2 => (9cot²60 + sec²45 - 4sin90)/ (3tan²30 + cosec²45 - tan45) = 1/2 = 0.5

it was easy

Rahman Wali - 7 years, 1 month ago
Salman Muneer
May 12, 2014

3+2-1/1+2-1 =0.5

that was easy..

Rahman Wali - 7 years, 1 month ago
Steven Zheng
Jul 15, 2014

This a an easy problem; good for teaching people trig. I like the picture!

Paras Kapur
May 13, 2014

9 X 1/3 +2-4 divided by 1+2-1 =1/2

Half the question was covered up by a picture of a tengerine, so I didn't have much chance!

Ken Garner - 4 months ago

it was easy.

Rahman Wali - 7 years, 1 month ago

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