Question

28. Evaluate
(i) tan 5° tan 25°tan 45º tan 65°tan 85
(ii) sin² 67° + sin² 23°
(iii) sec² 52° - tan² 52
(iv) cot² 40 - cosec² 40 ​

Answer 1

Answer:

sorry my math is weak

Step-by-step explanation:

so icat ans

Answer 2

Answer:

tan 5 tan 25 tan 45 tan 65 tan 85

tan(90-85)×tan(90-65)×1×tan 65×tan85

cot 85×cot 65×tan 65×tan 85

1/tan85×1/tan65×tan65×tan 85(All are cancelled)

=1

2. sin^2 67+sin^2 23

sin^2(90-23)+sin^2 23

cos^2 23+sin^2 23 (Identity:sin^A+cos^A=1)

=1

3. sec^2 52-tan^2 52(Identity:1+tan^2A=sec^2A)

= 1( Changing the values according to the question we get 1)

4. cot^2 40-cosec^2 40(Identity:1+cot^2A=cosec^2A)

= -1(Changing the values according to the question we get -1)

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