Trigonometry Questions

Prove that \(Cot(90 – \theta)\) = \(Tan\theta\).

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 »

Prove that \(Cos(90 – \theta)\) = \(Sin\theta\).

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 »

Prove that \(Sin(90 – \theta)\) = \(Cos\theta\).

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 »

What is the Value of Sec 90 Degrees ?

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 …

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What is the Value of Tan 90 Degrees ?

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. …

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What is the Value of Cos 90 Degrees ?

Solution : The value of cos 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 \(\angle\) …

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