Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202120 Aug 2021Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

Let θ be an angle in the standard position such that the point ( - 5 , 12 ) lies on its terminal side, then

Options

  1. A| sin θ | = - sin θ
  2. B| cos θ | = cos θ
  3. C| tan θ | = - tan θ
  4. D| cosec θ | = - cosec θ

Correct answer

C. | tan θ | = - tan θ

Step-by-step solution

Clearly, the point - 5 , 12 lies in second quadrant. Since, it's x - coordinate is negative and y - coordinate is positive. We know that, in second quadrant sin θ   &   cos e c θ are positive and cos θ ,   s e c θ ,   tan θ   &   c o t θ are negative. So, by using definition of modulus function, we get | sin θ | = sin θ , | cos θ | = - cos θ , | tan θ | = - tan θ , | cos e c θ | = cos e c θ .

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If x+ x= 1 2 and 0 < x < , then x= 2025If A and B are acute angles satisfying 3 ^2 A+2 ^2 B=4 and 3 A B = 2 B A , then A+2 B= 2025In a ABC , if ^2 ~B = A and 2 ^2 ~A =3 ^2 ~B , then the triangle is 202512 2 12 3 12 4 12 5 12 6 12 = 2025If ( 4 + )= ^3 ( 4 + ) , then ( + ) ( - )= 2025If A+B+C+D=2 , then A+ B+ C+ D= 2025(4 ^2 20 -1 ) (4 ^2 3 20 -1 ) (4 ^2 5 20 +1 ) (4 ^2 7 20 -1 ) (4 ^2 9 20 -1 )= 2025If A and B are the values such that (A+B) and (A-B) are not odd multiples of 2 and 2 (A+B)=3 (A-B) , then A A= 2025 Full Trigonometric Ratios & Identities list All AP EAMCET PYQs