Mathematics

Mathematics

Problem

For an acute angle θ\theta it is known that sin⁡θ=513\sin\theta = \dfrac{5}{13}. Answer all parts sequentially. a. (i) Find cos⁡θ\cos\theta. b. (ii) Determine tan⁡θ\tan\theta. c. (iii) Evaluate the expression 2sin⁡θ+3cos⁡θ2\sin\theta + 3\cos\theta. d. (iv) Show that tan⁡2θ+1=1cos⁡2θ\tan^{2}\theta + 1 = \dfrac{1}{\cos^{2}\theta} for the values calculated.

Browse the problem library