A simple problem on trigonometry

Geometry Level 2

If x x is a real number, then which of the following equalities is possible?

tan ⁡ x = 45 \tan x=45 cos ⁡ x = 7 3 \cos x=\frac{7}{3} sec ⁡ x = 4 5 \sec x=\frac{4}{5} sin ⁡ x = a 2 + b 2 a 2 − b 2 , ( a ≠ b , b > 0 ) \sin x=\frac{a^2+b^2}{a^2-b^2}, (a \neq b, b > 0)

Shanthanu Rai by Shanthanu Rai , 21, India

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2 solutions

Yassir Douslimi
Feb 22, 2016

Just wanted to point out that it's "trigonometry".

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Thank You. I have rectified the error.

Shanthanu Rai - 5 years, 3 months ago
Shanthanu Rai
Feb 22, 2016

The range of sin x and cos x lies from -1 to 1.
sec x being the reciprocal of cos x has no values ranging from -1 to 1.
t a n x = 45 tan x=45 is possible.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Value of sinx can be 1 and that expression also can be 1 when b=0.

Kushagra Sahni - 5 years, 3 months ago

cos ⁡ x = 7 3 \cos x = \frac{7}{3} is possible if x is a complex number

Guillermo Templado - 5 years, 3 months ago

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