a. Express 3sin + 4 cos in the form Rsin( + ) , where R

Question:

a. Express 3sinθ + 4 cos θ in the form Rsin(θ + α ) , where R > 0 and 0° <  ,90°.

Give the value of α  correct to 2 decimal places.

b. Hence solve the equation 3sinθ + 4 cosθ  = 2 for 0° < θ < 360°.

c. Find the least value of 3sinθ + 4 cosθ + 3 as θ varies.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: