Question

Express sin 75 + cos 55°in terms of the angles between 0° and 45°.​

Answer 1

Answer:

cos15°+sin35°

Step-by-step explanation:

using formula,

sin(90-A)=cosA and cos(90-A)=sinA

now,

sin75°+cos55°

=sin(90°-75°)+cos(90°-55°)

=cos15+sin35°_______________________________________________

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Answer 2

Answer:

$cos 15^{\circ}+sin 35^{\circ}$

Step-by-step explanation:

We are given that

$sin 75^{\circ}+cos55^{\circ}$

We have to express given expression in terms of the angles between $0^{\circ}$ and 45 degrees.

$sin (90-15)^{\circ}+cos (90-35)^{\circ}$

We know that

$sin (90-\theta)=cos\theta, cos (90-\theta)=sin\theta$

Apply the formula then, we get

$cos 15^{\circ}+sin 35^{\circ}$