Question

Express Cos65°+tan65° in terms of angles between 0° and 30°​

Answer 1

Answer:

sin25 +cot25

Step-by-step explanation:

cos65+tan65

sin(90-65)+ cot (90-65)

sin25+cot25

Answer 2

Cos65°+tan65° can be expressed as Sin25° + Cot25°

Given:

Trigonometric formulas

To find:

Express Cos65°+Tan65° in angles 0° and 30°

Solution:

As we know that there are certain trigonometric formulas that go by

• Sin (90° - ∅ ) = Cos∅
• Cos (90° - ∅ ) = Sin∅
• Cot (90° - ∅ ) = Tan∅

These formulas are obtained through the quadrant rule of trigonometry. We need to solve them in such a way that the angles are obtained between 0° to 30°

Cos65° + Tan65°

From the above formulas, the equation can be written as,

Sin(90° - 65°) + Cot(90° - 65°)

Sin25° + Cot25°

Therefore, Cos65°+tan65° can be expressed as Sin25° + Cot25°.

#SPJ3