The two legs of a right triangle are sinθ + sin ( 3 2 - ) and cosθ – cos ( 3 2 - ) . The…
Mathematics · JEE Main · NTA Exams — Trigonometry
The two legs of a right triangle are
sinθ + sin \(\left(\frac{3 \pi}{2}-\theta\right)\)and cosθ – cos \(\left(\frac{3 \pi}{2}-\theta\right)\). The length of its hypotenuse is
sinθ + sin \(\left(\frac{3 \pi}{2}-\theta\right)\)and cosθ – cos \(\left(\frac{3 \pi}{2}-\theta\right)\). The length of its hypotenuse is
- 1
- 2
- \(\sqrt{2}\)
- some function of θ
Answer
(C) 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The sides of a triangle are 8 cm, 10 cm and 12 cm. Then, the greatest angle is
- Let S be the set of all solutions of the equation x [- 1 2 , 1 2 ] . Then _ x S 2 ^ -1 (x^ 2 -1 ) is equal to
- If A= 3 4 , then 32 A 2 5 A 2 equals
- If 2 x 3 4 , then ^ -1 ( 12 13 x+ 5 13 x ) is equal to
- The sides of triangle are sin α, cos α and 1+ for some 0< < 2 . Then the greatest angle of the triangle is
- If 2 1+ + = then 1+ - 1+ is equal to
- Let ( m , n are co-prime natural numbers) be a solution of the equation (2 ^ -1 x )= 1 9 and let a, b be the…
- If x ∈ R and x ≠ 0, then which of the following is not possible ?