Solution : Draw a right angled triangle ABC right angled at B. Let \(\angle\) A = \(\theta\), then \(\angle\) C = 90 – \(\theta\) sec A = \(sec\theta\) = \(AC\over AB\) ……..(1) cosec C = \(cosec(90 – \theta)\) = \(AC\over AB\) …
Prove that \(Cosec(90 – \theta)\) = \(Sec\theta\). Read More »
Solution : Draw a right angled triangle ABC right angled at B. Let \(\angle\) A = \(\theta\), then \(\angle\) C = 90 – \(\theta\) cosec A = \(cosec\theta\) = \(AC\over BC\) ……..(1) sec C = \(sec(90 – \theta)\) = \(AC\over BC\) …
Prove that \(Sec(90 – \theta)\) = \(Cosec\theta\). Read More »
Solution : Draw a right angled triangle ABC right angled at B. Let \(\angle\) A = \(\theta\), then \(\angle\) C = 90 – \(\theta\) tan A = \(tan\theta\) = \(BC\over AB\) ……..(1) cot C = \(cot(90 – \theta)\) = \(BC\over AB\) …
Prove that \(Cot(90 – \theta)\) = \(Tan\theta\). Read More »
Solution : Draw a right angled triangle ABC right angled at B. Let \(\angle\) A = \(\theta\), then \(\angle\) C = 90 – \(\theta\) cot A = \(cot\theta\) = \(AB\over BC\) ……..(1) tan C = \(tan(90 – \theta)\) = \(AB\over BC\) …
Prove that \(Tan(90 – \theta)\) = \(Cot\theta\). Read More »
Solution : Draw a right angled triangle ABC right angled at B. Let \(\angle\) A = \(\theta\), then \(\angle\) C = 90 – \(\theta\) sin A = \(sin\theta\) = \(BC\over AC\) ……..(1) cos C = \(cos(90 – \theta)\) = \(BC\over AC\) …
Prove that \(Cos(90 – \theta)\) = \(Sin\theta\). Read More »
Solution : Draw a right angled triangle ABC right angled at B. Let \(\angle\) A = \(\theta\), then \(\angle\) C = 90 – \(\theta\) cos A = \(cos\theta\) = \(AB\over AC\) ……..(1) sin C = \(sin(90 – \theta)\) = \(AB\over AC\) …
Prove that \(Sin(90 – \theta)\) = \(Cos\theta\). Read More »
Solution : The value of cosec 90 degrees is 1. Proof : \(\angle\) A of \(\Delta\) ABC is made large and large until it becomes 90 degrees. As \(\angle\) A gets large and large \(\angle\) C gets smaller and smaller. Side AB goes on decreasing. The point A gets closer to point B. When \(\angle\) …
Solution : The value of sec 90 degrees is \(\infty\) or not defined. Proof : \(\angle\) A of \(\Delta\) ABC is made large and large until it becomes 90 degrees. As \(\angle\) A gets large and large \(\angle\) C gets smaller and smaller. Side AB goes on decreasing. The point A gets closer to point …
Solution : The value of tan 90 degrees is \(\infty\) or not defined. Proof : \(\angle\) A of \(\Delta\) ABC is made large and large until it becomes 90 degrees. As \(\angle\) A gets large and large \(\angle\) C gets smaller and smaller. Side AB goes on decreasing. The point A gets closer to point B. …
Solution : The value of cot 90 degrees is 0. Proof : \(\angle\) A of \(\Delta\) ABC is made large and large until it becomes 90 degrees. As \(\angle\) A gets large and large \(\angle\) C gets smaller and smaller. Side AB goes on decreasing. The point A gets closer to point B. When \(\angle\) …
