Question Type 1: Using the angle identities to find values to difficult angles by breaking them into sums of known trig values Exercises

Find $\tan\left(\frac{17\pi}{12}\right)$ using angle identities.

Calculate $\sin\left(\frac{13\pi}{12}\right)$ by breaking it into a sum.

Find $\sin\bigl(\frac{7\pi}{12}\bigr)$ using angle sum identities.

Calculate $\cos\left(\frac{5\pi}{12}\right)$ by expressing the angle as a sum.

Find $\tan\bigl(\tfrac{11\pi}{12}\bigr)$ using angle-sum identities.

Determine $\cos\left(\frac{17\pi}{12}\right)$ by angle addition.

Find the exact value of $\sin\left(\frac{17\pi}{12}\right)$ by expressing it in terms of known angles.

Determine $\cos\left(\frac{13\pi}{12}\right)$ by sum/difference decomposition.

Find $\tan\bigl(\frac{13\pi}{12}\bigr)$ using angle formulas.

Determine $\sin\bigl(\tfrac{11\pi}{12}\bigr)$ by breaking the angle into known parts.

Find the exact value of $\cos\left(\frac{11\pi}{12}\right)$ by expressing it as a difference.

Find $\tan\bigl(\tfrac{7\pi}{12}\bigr)$ using sum formulas.