Geometry

Sum and Difference Trigonometric Formulas

Sum and Difference Trigonometric Formulas: Level 2 Challenges

         

If sin⁡θ=cos⁡θ\sin\theta= \cos\theta, find the value of cos⁡2θ\cos 2\theta.

Parth Lohomi by Parth Lohomi

If A+B=225∘A + B = 225^{\circ}, find (1+tan⁡A)(1+tan⁡B),(1+\tan A)(1+\tan B), where defined.

Omkar Kulkarni by Omkar Kulkarni

1cos⁡80∘−3sin⁡80∘= ?\large \frac {1}{\cos 80^\circ } - \frac {\sqrt 3}{\sin 80^\circ } = \ ?

Hint: How can we write the numerators in relation to common trig values?

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Gagan Raj by Gagan Raj

If cos⁡[6arccos⁡(13)]=AB,\cos\left[6\arccos \left(\dfrac{1}{3}\right)\right] = \frac{A}{B}, where AA and BB are relatively prime positive integers, find B−A.B-A.

Pratik Shastri by Pratik Shastri

sin⁡218∘+sin⁡230∘. \sin^2 18^ \circ + \sin ^2 30 ^ \circ.

Which of the following is equal to the above expression?

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Calvin Lin by Calvin Lin
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